7th Grade Geometry Area Volume Test
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Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). Find the area of each shape: 1)
Equation: ________________________ Work:
Answer: _________________________ ------------------------------------------------------------------------------------------------------------------------------------------2) Equation: ________________________ Work:
Answer: ________________________ --------------------------------------------------------------------------------------------------------------------------------------------3)
Equation: _____________________ Work:
Answer: _______________________ ---------------------------------------------------------------------------------------------------------------------------------------------4)
Equation: ________________________ Work:
Answer: ________________________
Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). 5) Laura’s yard is in the shape of a square and a half-circle. What is the approximate area of Laura’s yard? Equation(s):____________________________ Work:
Answer: _________________________________ -----------------------------------------------------------------------------------------------------------------------------------------------------6) Draw the net and find the surface area of the figure below. Equation(s): _________________________________ Work:
Answer: ___________________________________ -----------------------------------------------------------------------------------------------------------------------------------------------------7) What is the volume of this triangular right prism? Equation(s): ____________________________ Work:
Answer: __________________________________
Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). 8) A kitchen is shaped like a rectangle with dimensions of 11 ½ ft by 9 ½ ft. The floor of the room is made of square tiles with a side length of ½ ft. What is the number of tiles that will cover the kitchen floor?
9) The circumference of a circle is 188 meters. What is the approximate radius of the circle?
10) Joe’s bathroom floor is 5 feet wide and 8 feet long. He will cover the floor with 3-inch square tiles. How many tiles does Joe need?
Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). 11) A steel water tank is a cylinder with a diameter of 30 feet and a height of 18 feet. How many square feet of steel were needed to make the tank?
Extra Credit: Based on what you have learned with volume, can you find the volume of this trapezoidal right prism? (2 pt)
What choice shows three lengths that cannot be the lengths of the three sides of a triangle? (1 pt) a) 2 cm, 8 cm, 8 cm b) 4 cm, 5 cm, 7 cm c) 5 cm, 6 cm, 9 cm d) 2 cm, 3 cm, 6 cm
1 2
What is the value of −2(42 + (2) ) ? (1 pt)
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). Find the area of each shape: 1)
Equation: ________________________ Work:
Answer: _________________________ ------------------------------------------------------------------------------------------------------------------------------------------2) Equation: ________________________ Work:
Answer: ________________________ --------------------------------------------------------------------------------------------------------------------------------------------3)
Equation: _____________________ Work:
Answer: _______________________ ---------------------------------------------------------------------------------------------------------------------------------------------4)
Equation: ________________________ Work:
Answer: ________________________
Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). 5) Laura’s yard is in the shape of a square and a half-circle. What is the approximate area of Laura’s yard? Equation(s):____________________________ Work:
Answer: _________________________________ -----------------------------------------------------------------------------------------------------------------------------------------------------6) Draw the net and find the surface area of the figure below. Equation(s): _________________________________ Work:
Answer: ___________________________________ -----------------------------------------------------------------------------------------------------------------------------------------------------7) What is the volume of this triangular right prism? Equation(s): ____________________________ Work:
Answer: __________________________________
Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). 8) A kitchen is shaped like a rectangle with dimensions of 11 ½ ft by 9 ½ ft. The floor of the room is made of square tiles with a side length of ½ ft. What is the number of tiles that will cover the kitchen floor?
9) The circumference of a circle is 188 meters. What is the approximate radius of the circle?
10) Joe’s bathroom floor is 5 feet wide and 8 feet long. He will cover the floor with 3-inch square tiles. How many tiles does Joe need?
Test: Area, Surface Area, and Volume
Name: _________________________Date: ________ Period: _____
SHOW YOUR WORK, SHOW YOUR UNITS Work (1 point), Answer (1 Point). 11) A steel water tank is a cylinder with a diameter of 30 feet and a height of 18 feet. How many square feet of steel were needed to make the tank?
Extra Credit: Based on what you have learned with volume, can you find the volume of this trapezoidal right prism? (2 pt)
What choice shows three lengths that cannot be the lengths of the three sides of a triangle? (1 pt) a) 2 cm, 8 cm, 8 cm b) 4 cm, 5 cm, 7 cm c) 5 cm, 6 cm, 9 cm d) 2 cm, 3 cm, 6 cm
1 2
What is the value of −2(42 + (2) ) ? (1 pt)
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