Surface Area and Volume of 3D Shapes

Find the surface area of a cube with side length 12 m.

• 144 m²

• 36 m²

• 864 m²

• 216 m²

Tags

CCSS.6.G.A.4

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

• 16.4 cm³

• 31.7 cm³

• 31.4 cm³

• 22.0 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the figure. Round to the nearest tenth.

• 128.6 units³

• 1,286.1 units³

• 401.9 units³

• 5,144.6 units³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the surface area of this figure?

• 200 cm ²

• 800 cm ²

• 400 cm ²

• 100 cm ²

Tags

CCSS.7.G.B.6

• 38

• 10

• 20

• 11.8

• 42

• 28

• 29.6

• 18

Answer explanation

This is a triangular prism, the base is a triangle, not the rectangle!

Area of the triangle is bh/2 so 2(2)/2=2, Perimeter of the base is the distance around the triangle, 2+2+2.8 = 6.8, and height is the distance between the two bases, 5. So,

SA = 2B + Ph

SA = 2(2)+6.8(5)

SA = 38

V = Bh

V = 2(5)

V = 10

Match the following

• pi r^2

• Circumference

• 2(lw) + 2(lh) + 2(hw)

• Surface Area of Triangular Prism

• pi r^2 / 2

• Surface Area of Rectangular Prism

• bh + (S1 + S2 + S3)H

• Semi-Circle

• 2 pi r

• Circle

Tags

CCSS.6.G.A.4

Find the surface area of the figure formed by the net.

• 40 cm²

• 48 cm²

• 52 cm²

• 62 cm ²

Tags

CCSS.6.G.A.4

What is the surface area of this figure?

• 3000 cm ²

• 164 cm ²

• 236 cm ²

• 328 cm ²

Tags

CCSS.7.G.B.6

Find the total surface area of the prism.

• 48 square inches

• 64 square inches

• 88 square inches

• 76 square inches

Tags

CCSS.7.G.B.6

Kim’s aquarium is a rectangular prism. If the aquarium has a length 48 inches, a width of 36 inches and a height of 30 inches, what is the aquarium’s volume?

• 51,840 in²

• 51,840 in³

• 114 in³

• 114 in²

Tags

CCSS.7.G.B.6