7A Geometry Test

A plane intersects a square pyramid. The plane is perpendicular to the base of the prism. Which two-dimensional figure is the cross section of the plane intersecting the prism?

• Square

• Trapezoid

• Triangle

• Rectangle

Tags

CCSS.7.G.A.3

Which figure can have the same cross section as a sphere?

• Rectangular Prism

• Cone

• Triangular Pyramid

• Trapezoidal Prism

Tags

CCSS.7.G.A.3

Find the volume of the square pyramid pictured to the right:

• 2904 cubic centimeters

• 8712 cubic centimeters

• 3564 cubic centimeters

• 1276 cubic centimeters

Tags

CCSS.HSG.GMD.A.3

A grain silo is built from two circular cones and a cylinder with internal measurements

labeled in the figure below. Of the following, which is the closest to the volume of

the grain silo in cubic feet?

• 261.8 $ft^3$

• 916.3 $ft^3$

• 785.4 $ft^3$

• 1047.2 $ft^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A circle is inscribed in a square. If one side of the square is 10, what is the area of the shaded region in terms of π?

• 25 – 10π

• 100π – 5π

• 25 – 25π

• 100 – 25π

If the volume of a prism with a square base is 42.875 cubic meters and the area of the base is 12.25 square meters, what is the height of the prism?

• 3.5 meters

• 0.35 meters

• 525.21875 meters

• 12.25 meters

Tags

CCSS.7.G.B.6

Sally has a semicircular pool in her backyard, as shown in the image. She wants to put a fence surrounding the pool so that her dog cannot fall in. Determine how much fencing Sally needs if the diameter of the pool is 5m. Use 3.14 for π.

• 15.7 square meters

• 20.7 square meters

• 7.85 square meters

• 12.85 square meters

The inside of the pool needs a new coat of paint. Katie will paint the bottom and all four sides. Which shows the total area Katie will paint?

• 440 ft²

• 600 ft²

• 560 ft²

• 680 ft²

Tags

CCSS.7.G.B.6

What is the area of the composite figure below?

• 33 units²

• 37 units²

• 63 units²

• 67 units²

Find the surface area of this cylinder with a diameter of 15m and a height of 6m to the nearest tenth of a meter.  $SA\ =\ 2\pi r^2+2\pi rh$  

•  459.5  $m^2$ 

• 636.2  $m^2$  

• 289.8  $m^2$  

• 42.4  $m^2$