Back to Exercise: Surface area of 3D solids (prisms, cylinders, cones, pyramids, spheres)

Surface Area of 3D Solids

Grade 10·24 problems·~30 min·Digital SAT Math·topic·sat-geotrig-area-sa
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A

Recall / Warm-Up

1.

What is the area of a rectangle with length 9 cm and width 4 cm?

2.

A rectangular box has length 5 cm, width 3 cm, and height 2 cm. What is the area, in square centimeters, of the face that measures 5 cm by 3 cm?

3.

A square has side length 7 inches. What is its area, expressed with the correct units?

B

Fluency Practice

Rectangular prism with length 8 cm, width 5 cm, height 3 cm labeled on each visible edge.
1.

A rectangular prism has length 8 cm, width 5 cm, and height 3 cm. What is the total surface area, in square centimeters?

2.

A rectangular prism has length 10 m, width 2.5 m, and height 4 m. What is the total surface area, in square meters?

Cylinder net showing two circles of radius 3 cm and a rectangle of height 8 cm whose width equals the circumference 6π cm.
3.

A cylinder has radius 3 cm and height 8 cm. What is its total surface area? Express your answer in terms of π (e.g., write 66pi).

4.

A cylinder has diameter 10 cm and height 6 cm. What is its total surface area? Express your answer in terms of π.

5.

A square pyramid has a base edge of 6 m and a slant height of 5 m. What is its total surface area, in square meters?

6.

A cone has radius 4 cm and slant height 9 cm. What is its total surface area? Express your answer in terms of π.

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