Grade 7 Benchmark #4A: Filling & Wrapping

Name:______

Part 1 For Questions 1 -1 0, bubble in your answers on the scan card provided

Q1 Which shape could be the base of a cone? (7G3)

A circle B square C triangle D octagon

Q2 Richard’s tent is a triangular prism, as shown below.

Which combination of shapes makes up the bases and faces of Richard’s tent? (7G3)

A 2 triangles, 2 rectangles B 2 triangles, 3 rectangles

C 3 triangles, 2 rectangles D 3 triangles, 3 rectangles

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Q3 Jordan sews a lace border 50π inches long around the edge of a circular tablecloth.

What is the length of the diameter from the inside edge of the lace to the center of the circular tablecloth (7G2)

A 5 inches B 25 inches C 50 inches D 100 inches

Q4 If the circumference of a circle is doubles, how does the diameter of the circle change? (7G1)

A The diameter stays the same B The diameter becomes half as long

C The diameter becomes twice as long D The diameter becomes four times as long

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Q5 All the figures below have at least one rectangular face except for which figure? (7G3)

A B C D

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Q6 The rectangular prism shown below has how many faces? (7G3)

A 1 B 2 C 4 D 6

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Q7 What is 6,200 milliliters converted to liters? (7M2)

1 liter = 1,000 milliliters

A 62 B 6.2 C 620 D 0.62

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Q8 Martin works at Shea Stadium. On a hot day, he sells 200 pints of bottled water.

How many gallons of water does he sell? (7M2)

1 gallon = 8 pints

A 25 B 50 C 100 D 400

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Q9 If the circumference of a circle is 16π , what is the radius? (7G1)

C = 2πr

A 4 B 8 C 16 D 32

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Q10 What is the best estimation, in square centimeters, for the surface area of the rectangular prism shown below? (7G4)

A 14 B 20 C 32 D 48

Part 2 for Questions 10 – 13, answer in the spaces provided

Q11 (7G2) Tricia is choosing a container for her jewelry beads. The containers are shown below.

Find the volume of the prism. Round your answer to the nearest whole number.

Show your work.

Volume of prism cubic centimeters

Find the volume of the cylinder. Round your answer to the nearest whole number.

Show your work.

Volume of cylinder cubic centimeters

What is the difference in volume between the prism and the cylinder? Round your answer to the nearest whole number.

Answer cubic centimeters

Q12 (7G4)

Chris must paint the cylindrical tank shown below.

h = 5 ft

r = 2 ft

[not drawn to scale]

Part A

What is the surface area of the entire tank to the nearest square foot?

Show your work.

Answer square feet

Part B

One can of paint will cover 25 square feet. How many cans of paint must Chris purchase to paint the entire surface area of the tank?

Show your work.

Answer cans of paint

Q13 (7G4)

Rashid needs to buy some wood to build a box. He must calculate the surface area of the box to determine how much wood to buy. A diagram of the box is shown:

How much wood does Rashid need to buy to build the box?

Show your work

Answer _square feet.

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