Prisms and Cylinders: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

A prism has base area $21$ square cm and perpendicular height $4$ cm. What is its volume?

Answer choices for question 1 A $25$ cubic cm B $84$ cubic cm C $42$ cubic cm D $168$ cubic cm
2

Which unit measures the volume of a prism whose lengths are measured in meters?

Answer choices for question 2 A Meters B Square meters C Liters per meter D Cubic meters
3

An oblique prism has base area $16$ square cm, perpendicular height $9$ cm, and joining edges of length $15$ cm. What is its volume?

Answer choices for question 3 A $144$ cubic cm B $240$ cubic cm C $135$ cubic cm D $216$ cubic cm
4

A circular cylinder has radius $3$ cm and perpendicular height $5$ cm. What is its volume?

Answer choices for question 4 A $15\pi$ cubic cm B $30\pi$ cubic cm C $45\pi$ cubic cm D $90\pi$ cubic cm
5

A circular cylinder has diameter $10$ cm and perpendicular height $4$ cm. What is its volume?

Answer choices for question 5 A $400\pi$ cubic cm B $100\pi$ cubic cm C $40\pi$ cubic cm D $200\pi$ cubic cm
6

A right prism has base perimeter $26$ cm and height $3$ cm. What is its lateral area?

Answer choices for question 6 A $78$ square cm B $29$ square cm C $156$ square cm D $39$ square cm
7

A closed right prism has base area $18$ square cm, base perimeter $22$ cm, and height $5$ cm. What is its total surface area?

Answer choices for question 7 A $110$ square cm B $128$ square cm C $220$ square cm D $146$ square cm
8

A right circular cylinder has radius $4$ cm and height $3$ cm. What is the area of its curved side alone?

Answer choices for question 8 A $48\pi$ square cm B $16\pi$ square cm C $24\pi$ square cm D $12\pi$ square cm
9

A closed right circular cylinder has radius $2$ cm and height $7$ cm. What is its total surface area?

Answer choices for question 9 A $28\pi$ square cm B $32\pi$ square cm C $36\pi$ square cm D $56\pi$ square cm
10

An ideal right cylindrical boundary has radius $3$ cm and height $4$ cm. It includes a bottom and the curved side, but no top. What is its area?

Answer choices for question 10 A $33\pi$ square cm B $42\pi$ square cm C $24\pi$ square cm D $36\pi$ square cm
11

A container has inside volume $2{,}500$ cubic cm. How many liters can it hold? Use $1$ liter as $1{,}000$ cubic cm.

Answer choices for question 11 A $25$ liters B $2.5$ liters C $0.25$ liter D $250$ liters
12

Which information lets Cavalieri's principle establish equal volumes for two ordinary solids between the same parallel planes?

Answer choices for question 12 A Their bases have equal perimeters B Their middle sections have equal areas C Their total surface areas are equal D Every plane parallel to the boundary planes cuts equal section areas