Unit Test Review

A solid right pyramid has a square base. The length of the base edge is 4 cm and the height of the pyramid is 3 cm. What is the volume of the pyramid? 12 cm3 16 cm3 32 cm3 48 cm3

16 cm3

Two cylinders are similar. The radius of cylinder A is 5.6 inches. The radius of cylinder B is 1.4 inches. If the height of cylinder B is 4 inches, what is the height of cylinder A? 8.2 inches 8.2 square inches 16 inches 16 square inches

16 inches

Zoe is packaging a gift to send in the mail. A smaller gift box is placed inside a similar yet larger packaging box. The empty space inside the packaging box is filled with tissue paper to keep the gift box from moving. The dimensions of the larger box are each 2.1 times longer than the corresponding dimensions of the smaller box. The volume of the smaller box is 24 cubic centimeters. What is the volume of the space filled with tissue paper in the packaging box? 81.84 cubic centimeters 105.84 cubic centimeters 198.264 cubic centimeters 222.264 cubic centimeters

198.264 cubic centimeters

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

2,400π cubic units

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

235.5 Cubic Units

The circumference of the base of a cylinder is 24π mm. A similar cylinder has a base with circumference of 60π mm. The lateral area of the larger cylinder is 210π mm2.What is the lateral area of the smaller cylinder? 17.1π mm2 33.6π mm2 60π mm2 84π mm2

33.6mm2

The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units

4,187 cubic units

Two similar cylinders have surface areas of 24 cm2 and 54 cm2. The volume of the smaller cylinder is 16 cm3. What is the volume of the larger cylinder? 36 cm3 46 cm3 48 cm3 54 cm3

54 cm3

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase. He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet. What is the volume of material he must purchase? 2 ft3 4 ft3 6 ft3 8 ft3

8 ft3

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?

A

Which sets can be represented using the Venn diagram below? A = {states in the US}; B = {world countries} A = {plays by Shakespeare}; B = {playwrights} A = {animals}; B = {mammals} A = {polygons}; B = {circles}

A = {animals}; B = {mammals}

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

B & E

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? A B C D

C. v=(s²*h)/3 units³

Consider the following sets. U = {all triangles} E = {x|x ∈ U and x is equilateral}I = {x|x ∈ U and x is isosceles}S = {x|x ∈ U and x is scalene}A = {x|x ∈ U and x is acute}O = {x|x ∈ U and x is obtuse}R = {x|x ∈ U and x is right} Which is a subset of I? E S A R

E

If k ∈ A ∩ B, which is the most specific location of k on the Venn diagram? I II III IV

II