Mastering Composite Shapes, Surface Area, and Volume

Which of the following is a composite shape?

• A) A circle

• B) A square

• C) A combination of a rectangle and a triangle

• D) A hexagon

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CCSS.1.G.A.2

What is the surface area of a cube with a edge of 7m?

• A) 294cm²

• B) 42cm²

• C) 343cm²

• D) 8cm²

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CCSS.6.G.A.4

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?

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CCSS.7.G.B.6

Which formula represents the area of a triangle?

• B) l x w where l is the length and w is the width

• D) s^2 where s is the side length

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CCSS.6.G.A.1

A cube has a side length of 11in. What is its surface area?

• A) 66in²

• B) 726in²

• C) 20in²

• D) 121in²

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CCSS.6.G.A.4

Identify the composite shape from the following:

• A) A rectangular-prism

• B) A triangle

• C) 2 Rectangles that are different sizes

• D) A cube

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CCSS.1.G.A.2

What is the volume of a rectangular-prism with a length of 5cm, a width of 8cm, and a height of 7cm?

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CCSS.7.G.B.6

Which of the following is the correct formula for the volume of a cone?

• A) 1/3π r^2h where r is the radius and h is the height

• B) π r^2h where r is the radius and h is the height

• C) lwh where l, w, and h are the length, width, and height

• D) 1/2bh where b is the base and h is the height

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A composite shape is made from a square with an edge of 3 cm and a rectangle with a length of 5 cm and

a width of

How do you calculate the surface area of a composite shape made of a cylinder and a hemisphere, where both have the same radius?

• A) Calculate the surface area of both shapes separately and then add them together, subtracting the base area of the hemisphere.

• B) Calculate the surface area of the cylinder and add half the surface area of a sphere with the same radius.

• C) Multiply the surface area of the cylinder by 2.

• D) Add the volume of both shapes and then find the square root.