Test Review 4-1 Academic

A company is designing an aluminum pencil holder. The pencil holder will be a cylinder with a circular base but no lid. The diameter of the pencil holder at its opening is to be 3 inches, and the height of the pencil holder is to be 5 inches. Which of the following is the closest to the amount of aluminum needed to make this pencil holder?

• 54.2 inches squared

• 61.3 inches squared

• 122.5 inches squared

• 150.8 inches squared

Find the lateral surface area of the cylinder above in terms of pi.

• $25\pi$

• $300\pi$

• $100\pi$

• $200\pi$

One face of a cube-shaped package has an area of  7 5/6 square inches. What is closest to the total surface area of the package? Think- how many faces does a cube have?

• 24 square inches

• 36 square inches

• 47 square inches

• 64 square inches

Tags

CCSS.6.G.A.4

Find the total surface area of the prism.

• 239.25 cm squared

• 829 cm squared

• 1,218 cm squared

• 346.4 cm squared

Tags

CCSS.7.G.B.6

Mr. Hoffman has a doorstop in his classroom shaped like the picture above. What is the total surface area of the doorstop?

• 11.3 inches squared

• 22.6 inches squared

• 6 inches squared

• 28.6 inches squared

Tags

CCSS.7.G.B.6

Find the lateral surface area of the prism shown above. The height of the triangular base is 6 mm.

• 397.5 mm squared

• 1,386 mm squared

• 313.5 mm squared

• 33 mm squared

Tags

CCSS.7.G.B.6

A container of yogurt is shaped like a cylinder. The radius of the container is 7/8 inch, and the height is 3 inches. Which expression can be used to find the volume of the yogurt container, in cubic inches?

• $\left(\frac{7}{8}\right)\left(3\right)$

• $\left(\pi\right)\left(\frac{7}{8}\right)\left(\frac{7}{8}\right)\left(3\right)$

• $\left(2\right)\left(\pi\right)\left(\frac{7}{8}\right)\left(3\right)$

• $\left(2\times\frac{7}{8}\right)\left(3\right)$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Darius is asked to determine the volume of a cylindrical pipe for his father’s plumbing business. The pipe has a diameter of 6 inches and a length of 34 inches. Which best explains how Darius can determine B, the area of the base of the pipe, in square inches?

• Multiply the square of $\frac{34}{2}$ by $\pi$

• Multiply 34 and 34

• Multiply the square of $\frac{6}{2}$ by $\pi$

• Multiply 6 and 6

Tags

CCSS.7.G.B.4

Myra purchases a can of chips. The formula for finding the volume of a cylinder is  $V=Bh$ .  Which best represents  $B$  ? 

•  $\pi\left(1.5\right)^2$  , because B is the area of the circular base.

•  $\pi\left(3\right)$  , because B is the circumference of the circular base.

• 3, because B is the diameter of the circular base.

•  $2\left(\pi\right)\left(1.5\right)$  , because B is the distance around the circular base.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Describe the relationship between the volume of a cylinder and the volume of a cone with the same size base and height.

• The volume of the cylinder is three times the volume of the cone.

• The volume of the cone is three times the volume of the cylinder.

• The volume of the cylinder is 1/3 times the volume of the cone.

• You cannot compare these two figures.

Tags

CCSS.3.MD.A.2