Volume and Surface Area Review

Which formula can be used to find the LATERAL surface area of a 3D figure?

• Perimeter of the base x height of the prism

• Perimeter of the base x height of the prism + 2 times the area of the base

Tags

CCSS.7.G.B.6

Terrance needs to find the lateral surface area of the box shown. Assuming that the base is the bottom of the prism, which of the expressions below will give him the correct lateral surface area?

• (14.5)(7)(8.6)

• (14.5 + 7)(8.6)

• (14.5 + 14.5 + 7 +7)(8.6)

• (14.5 + 14.5 + 7 + 7)(8.6) + 2(14.5)(7)

Tags

CCSS.7.G.B.6

Which expressions could be used to find the lateral surface area of the triangular prism below? (Base is a triangle!)

• (16 + 10 + 10) (12)

• (16 + 10 + 10) (6)

• (16 + 10 + 10) (12) + 2(48)

• (12 + 12 + 16 + 16) (10)

Tags

CCSS.7.G.B.6

Which formula can be used to find the Total Surface Area of a 3D figure?

• Perimeter of the base x height of the prism

• Perimeter of the base x height of the prism + 2 times the area of the base

Tags

CCSS.7.G.B.6

The rectangular prism below represents a box that is made completely out of cardboard. Find the total square inches of cardboard made up by the box. (Total Surface Area).

• 330.48 in²

• 297.36 in²

• 42.6 in²

• 187.2 in²

Tags

CCSS.7.G.B.6

Which formula can be used to find the lateral surface area of a cylinder?

• 2πrh

• 2πrh + 2πr²

The can shown has a diameter of 5 inches and a height of 6.5 inches. The can's label covers the entire lateral surface of the can. How many square inches is covered by the label of the can? (Use 3.14 for Pi)

• 204.1 in²

• 39.25 in²

• 68 in²

• 102.05 in²

What is the formula for finding the volume of a cylinder?

• V = π r² x h

• V = (1/3) π r² x h

• V = (4/3) π r² x h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which of the following descriptions correctly explains how to find the volume of the cylinder shown? (Use 3.14 for Pi)

• Multiply 360in² (the area of the base) by 10 in (height of the cylinder)

• Add 157in² (the area of the bases) with 1130.4in² (the lateral surface area)

• Multiply 314in² (the area of the base) by 36 in. (height of the cylinder)

• Multiply 78.5in² (the area of the base) by 36 in (height of the cylinder)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Cyndi has a cylindrical container in her kitchen with the measurements shown. If 3/4 of the space in the container is filled with sugar, how many cubic inches of sugar are in the container? (Use 3.14 for Pi)

• 602.88 in³

• 452.16 in³

• 803.84 in³

• 200.96 in3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3