Geometry Wake Up

What is the area of the figure?

• A. 205 sq ft

• B. 230 sq ft

• C. 265 sq ft

• D. 280 sq ft

A birdhouse is shaped like a rectangular prism. A circular hole is cut out of the front of the birdhouse for the entrance, as represented in the picture below.

• The volume of the birdhouse is 140 cubic inches.

• The hole has an area that is 1/4 the area of the top of the birdhouse.

Alicia paints the outside of the birdhouse. How many square inches does Alicia paint?

• A. 156

• B. 159

• C. 161

• D. 166

A rectangular prism is pictured below.

What is the volume of the rectangular prism?

• A. 89 1/4 cm³

• B. 203 1/2 cm³

• C. 576 1/8 cm³

• D. 610 1/2 cm³

A three-dimensional figure is pictured below.

Which net could form the three-dimensional figure when folded along the dashed line segments?

• A

• B

• C

• D

The coordinates of the vertices of a quadrilateral are given below.

What is the area, in square units, of the quadrilateral?

• A. 24 square units

• B. 36 square units

• C. 48 square units

• D. 72 square units

A triangle and a trapezoid are graphed on the coordinate plane shown below.

What is the combined area, in square units, of the two shapes?

• A. 10

• B. 14

• C. 16

• D. 20

Jamal keeps different colors of beads in containers shaped like the one shown below. What is the volume, in cubic inches, of one of these containers?

• A. 4 9/16

• B. 7 1/2

• C. 12 1/4

• D. 14

Phil is making a number cube out of cardboard. He traces one face of the number cube onto a coordinate grid. The coordinates of two opposite vertices of the face are (4, 8) and (12, 16). What is the surface area, in square units, of Phil’s entire number cube?

• A. 48

• B. 64

• C. 384

• D. 512

Neelah received a package in the shape of a rectangular prism as shown below.

The volume of the package is 748 cubic inches. The equation 4 × 11 × h = 748 can be used to find the height (h), in inches, of the package. What is the surface area, in square inches, of Neelah’s package?

• A. 299

• B. 418

• C. 510

• D. 598

What is the area of the trapezoid?

• A. 21 m²

• B. 27 m²

• C. 34 m²

• D. 42 m²