Geometry Area Surface Area Volume

The triangular prism shown below represents a display case.  Which of the following is the best estimate of the volume of the display case in cubic inches?

• 144 cubic in.

• 576 cubic in.

• 288 cubic in.

• 72 cubic in.

Tags

CCSS.7.G.B.6

Evelyn cut a wedge of cheese into the shape of a triangular prism like the one shown below. The shaded part represents one of the bases of the prism. A formula for the volume of a triangular prism is V = Bh. Which equation can be used to find B, the area of the shaded base in square centimeters?

• B = 5(6)

• B = 5(6)/2

• B = 4(5)

• B = 4(5)/2

Tags

CCSS.7.G.B.6

The diagram below models the length from the center of a wind turbine to the tip of one of its blades. Which of these is closest to the total area covered by the blade when the turbine makes 1 revolution?

• 3,215 m²

• 100 m²

• 1,024 m²

• 201 m²

Tags

CCSS.7.G.B.4

Use the ruler provided to measure the dimensions of the figure below to the nearest centimeter.  Which of the following is closest to the area of the shaded rectangles of the figure?

• 25 cm²

• 49 cm²

• 16 cm²

• 24 cm ²

Tags

CCSS.3.MD.C.6

The base of a square pyramid has an area of 100 in² and a perimeter of 40 in. If the surface area of the pyramid is 280 in², then what is the slant height?

• 9 in

• 8 in

• 160 in

• 2.25 in

Tags

CCSS.7.G.B.6

Find the volume of the following shape.(What two solids are being added together??)

• 4155.27 m³

• 1038.82 m³

• 804.24 m³

• 1005.31 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the solid? Leave your answer in terms of π.

• 675π

• 486π

• 189π

• 656.1π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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

Find the volume of the composite solid.
Use 3.14 for pi.

• 891.76 cm³

• 420.76 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A solid has a surface area of 30 square inches and is enlarged by a scale factor of 2.5. What is the surface area of the larger solid?

• 187.5 square inches

• 75 square inches

• 468.75 square inches

• None of these

Tags

CCSS.7.G.B.6