Geometry - Unit 4 Review

The base of a hexagonal prism has an apothem measuring 10 inches and an area of 346.41 square inches. The prism is 12 inches tall.

What is the approximate lateral area of the prism? Round to the nearest whole number.

• 139 square inches

• 416 square inches

• 693 square inches

• 831 square inches

Tags

CCSS.7.G.B.6

The height of a cylinder is 6 inches. The diameter of the circular base of the figure is 10 inches. What is the approximate surface area of the figure? Use 3.14 for π and round to the nearest whole number.

• 251 square inches

• 267 square inches

• 345 square inches

• 415 square inches

A sphere is cut into 8 congruent pieces. The radius of the sphere is 8 centimeters. One piece is shown in the diagram. What is the surface area of one piece of the sphere, as shown in the diagram? Express the answer in terms of π.

• 64π cm2

• 80π cm2

• 256π cm2

• 384π cm2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of the cylinder are equal. The diameter of the circular base of the cylinder is 10 feet. The cylinder is 40 feet tall. One of the circular bases on the cylinder is in contact with the ground.

What is the area of the surface of the silo that will be exposed to rain, wind, and sun?

• 450π square feet

• 475π square feet

• 500π square feet

• 525π square feet

A cylinder with a base diameter of x units has a volume of πx³ cubic units. Which statements about the cylinder are true?

• The radius of the cylinder is 2x units. The area of the cylinder’s base is 1/4 πx² square units.

• The area of the cylinder’s base is 1/2 πx² square units. The height of the cylinder is 2x units.

• The area of the cylinder’s base is 1/2 πx² square units. The height of the cylinder is 4x units.

• The area of the cylinder’s base is 1/4 πx² square units. The height of the cylinder is 4x units.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder?

• 2,400π cubic units

• 2,500π cubic units

• 2,600π cubic units

• 2,700π cubic units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth.

• 117.8 cubic units

• 141.3 cubic units

• 235.5 cubic units

• 282.6 cubic units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use  $\pi\ =3.14$   and round to the nearest whole cubic unit.

• 42 cubic units

• 126 cubic units

• 4187 cubic units

• 73,385 cubic units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A solid right pyramid has a square base with an edge length of s units and a height of h units. Which expression represents the volume of the pyramid?

• 1/4 s²h units³

• 1/3 s²h units³

• s²h units³

• 3s²h units³

Tags

CCSS.HSG.GMD.A.3

A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm. Which expression represents the volume of the pyramid?

• $\frac{x^3+2x^2}{3}\ cm^3$

• $\frac{x^{2\ }+\ 2x^2}{2}cm^3$

• $\frac{x^3}{3}cm^3$

• $\frac{x^3\ +\ 2x^2}{2}cm^3$

Tags

CCSS.HSG.GMD.A.3