Prisms and Cylinders: Practice Level 2 | Geometry

Level 2 · Intermediate 0 / 12 answered

Question 1 of 12

1

An oblique circular cylinder has radius $4$ cm, perpendicular height $6$ cm, and slanted joining segments of length $10$ cm. What is its volume?

Answer choices for question 1 A $160\pi$ cubic cm B $60\pi$ cubic cm C $96\pi$ cubic cm D $48\pi$ cubic cm
2

A right prism has right triangular bases with legs $6$ cm and $8$ cm. The bases are $11$ cm apart. What is its volume?

Answer choices for question 2 A $264$ cubic cm B $528$ cubic cm C $154$ cubic cm D $132$ cubic cm
3

A closed right triangular prism has base sides $8$ , $15$ , and $17$ cm. The $8$ cm and $15$ cm sides are perpendicular, and the prism height is $6$ cm. What is its total surface area?

Answer choices for question 3 A $240$ square cm B $300$ square cm C $480$ square cm D $360$ square cm
4

A prism has volume $162$ cubic cm and base area $27$ square cm. What is its perpendicular height?

Answer choices for question 4 A $135$ cm B $6$ cm C $9$ cm D $4.5$ cm
5

A circular cylinder has volume $150\pi$ cubic cm and radius $5$ cm. What is its perpendicular height?

Answer choices for question 5 A $6$ cm B $30$ cm C $12$ cm D $3$ cm
6

An ideal rectangular box has base $4$ cm by $7$ cm and perpendicular height $9$ cm. It includes the bottom and four upright sides, with no lid. What material area is included?

Answer choices for question 6 A $254$ square cm B $198$ square cm C $226$ square cm D $252$ square cm
7

A closed right prism has base area $20$ square cm, base perimeter $24$ cm, and total surface area $208$ square cm. What is its height?

Answer choices for question 7 A $8$ cm B $7$ cm C $9.5$ cm D $6$ cm
8

A closed right circular cylinder has radius $5$ cm and height $3$ cm. What is its total surface area?

Answer choices for question 8 A $30\pi$ square cm B $55\pi$ square cm C $75\pi$ square cm D $80\pi$ square cm
9

An ideal right cylindrical sleeve is open at both ends. Its radius is $7$ cm and its height is $2$ cm. Ignore thickness. What is its surface area?

Answer choices for question 9 A $28\pi$ square cm B $77\pi$ square cm C $126\pi$ square cm D $98\pi$ square cm
10

The side of a right circular cylinder unrolls to a rectangle $12\pi$ cm wide around the base and $5$ cm high. What is the cylinder's volume?

Answer choices for question 10 A $60\pi$ cubic cm B $720\pi$ cubic cm C $90\pi$ cubic cm D $180\pi$ cubic cm
11

Why is multiplying the base perimeter by the perpendicular solid height not a general lateral-area method for oblique prisms?

Answer choices for question 11 A Oblique prisms have no base perimeter B Cavalieri says that surface area is undefined C The lateral parallelograms can have face altitudes different from the solid height D The volume formula stops applying
12

A prism and a circular cylinder both have base area $15$ square cm and perpendicular height $8$ cm. Which statement justifies equal volumes?

Answer choices for question 12 A The bases must be congruent B Each base-parallel section has area 15 square cm at every height C The lateral areas must be equal D Equal base perimeters force equality