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Worksheet: Volume of Prisms and Pyramids

Q1:

Given that the volume of each small cube is 1 cubic unit, find the volume of this prism.

Q2:

Each of these rectangular prisms is made up of unit cubes. Which has a volume of 9 cubic units?

  • A
  • B
  • C
  • D

Q3:

Daniel and Chloe are calculating the volume of a rectangular prism with length 22 m, height 13 m, width 6 m. Daniel said that the volume is 1 716 m3, and Chloe said it was 78 m3. Who is correct?

  • ADaniel
  • BChloe

Q4:

The bigger triangular prism has a volume of 6 400 cubic meters. The dimensions of the smaller prism are one-fourth of the dimensions of the bigger prism. What is the volume of the smaller prism?

Q5:

Find the volume of the given oblique rectangular prism.

Q6:

Determine the volume of an oblique hexagonal prism with a base area of 125 square centimeters and a perpendicular height of 10.4 centimeters.

Q7:

Determine, to the nearest hundredth, the volume of the given pyramid.

Q8:

A triangular pyramid has a triangle with base 9.5 and height 8. If the height of the pyramid is 12.2, what is its volume, to the nearest hundredth?

Q9:

Determine, to the nearest tenth, the volume of the given solid.

Q10:

If the base area of the shown solid is 1 970 cm2, determine, to the nearest tenth, its volume.

Q11:

Find, to one decimal place, the volume of a triangular pyramid with a height of 7 centimeters, where the right-triangular base has a leg of 5 centimeters and a hypotenuse of 6.7 centimeters.

Q12:

Find the volume of the following regular pyramid approximating the result to the nearest hundredth.

Q13:

Given that a square pyramid has a base perimeter of 24 cm and a height of 23 cm, determine its volume in cubic centimeters.

  • A
    1 104
  • B184
  • C828
  • D276

Q14:

Find the volume of a right square pyramid whose height is 45 cm and base side length is 25 cm.

  • A
    16 875
    cm3
  • B
    28 125
    cm3
  • C
    3 125
    cm3
  • D
    9 375
    cm3

Q15:

Find the height of a regular pyramid whose volume is 196 cm3 and base area is 42 cm2.

Q16:

Given that a square pyramid has a volume of 372 cm3 and a height of 31 cm, determine the perimeter of its base.

  • A 36 cm
  • B 6 cm
  • C 124 cm
  • D 24 cm

Q17:

Determine, to the nearest hundredth, the volume of the given solid.