Volume & Surface Area

Find the surface area and volume of a right rectangular prism with base edges of 6 inches and 4 inches and height 7 inches.

• Surface Area: 188 sq inches, Volume: 168 cubic inches

• Surface Area: 136 sq inches, Volume: 158 cubic inches

• Surface Area: 152 sq inches, Volume: 174 cubic inches

• Surface Area: 144 sq inches, Volume: 162 cubic inches

Tags

CCSS.7.G.B.6

Find the volume of a pyramid whose true height is 10 inches and whose base is a regular hexagon with edges of length 8 inches.

• 339.29 cubic inches

• 403.92 cubic inches

Tags

CCSS.HSG.GMD.A.3

Find the slant height and surface area of a cone with diameter 10 and height 12. Give your answers in terms of π (if necessary) and rounded to the nearest tenth.

• Slant height: 13.0, Surface area: 120π

• Slant height: 13.0, Surface area: 90π

• Slant height: 11.7, Surface area: 150π

• Slant height: 13.4, Surface area: 130π

Find the surface area and volume of a cylinder with height 10 cm and whose base has circumference 12 π cm.

• Surface Area: 192π cm^2, Volume: 360π cm^3

• Surface Area: 240π cm^2, Volume: 360π cm^3

• Surface Area: 120π cm^2, Volume: 120π cm^3

• Surface Area: 360π cm^2, Volume: 120π cm^3

Find the surface area and volume of the figures shown.

Two similar solids have volumes of 27 cm³ and 8 cm³. Find the ratio of their surface areas.

• 3:2

• 9:4

• 2:3

• 4:8

• 115.5 cm³

• 122.5 cm³

What is the lateral area of a regular square pyramid with base edges of 12 in and a lateral edge of 10 in.

• 144 in^2

• 192 in^2

• 240 in^2

• 288 in^2

Tags

CCSS.7.G.B.6

The lateral area of a cylinder is 18 π m². If the height is 4.5 m, determine the length of the radius.

• 1 m

• 2 m

• 3.5 m

• 4 m

The total surface area of a cylinder is 100 π m². If the radius and height are the same measure, find the length of the diameter.

• 10 m

• 20 m

• 5 m

• 15 m