Volume of Prisms
A right triangular prism is constructed so that its height is equal to the leg length of the base. What expression represents the volume of the prism, in cubic units?
1/2x3
An oblique prism has a base area of 3x2 square units. What expression represents the volume of the prism, in cubic units?
36x2
The volume of the triangular prism is 54 cubic units. What is the value of x?
3
An oblique rectangular prism with a square base has a volume of 539 cubic units. The edges of the prism measure 7 by 7 by 14 units. How many units longer is the slanted edge length of the prism, 14, compared to its perpendicular height?
3 units
A right triangular prism is shown. What is the volume of the prism?
900 cubic units
A right rectangular prism with square bases has a height of 20 centimeters and a volume of 800 cubic centimeters. Which statements describe the prism? Select three options.
The diagonal of the base is 4 root of 5 centimeters. The area of a base is 40 square centimeters. The area of a lateral side between the bases is about 126.5 square centimeters.
The oblique prism below has an isosceles right triangle base. What expression represents the volume of the prism, in cubic units?
1/2x3 + x2
The oblique prism has a rectangular base with a width of 10 units and a length of 13 units. The top base extends 8 units to the right of the bottom base. What is the volume of the prism?
1,950 cubic units
An oblique prism is created using rhombuses with edge lengths of 25 units. The area of one rhombus is 600 square units. The perpendicular distance between the bases is 24 units. What is the volume of the prism?
14,400 cubic units
A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represents the volume of the prism, in cubic centimeters?
14x2 + 7x
A right square prism has a volume of 360 cubic units. Which could be the dimensions, in units, of the prism? Select three options.
3 by 3 by 40 2.5 by 12 by 12 3.6 by 10 by 10
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. What is the volume of the prism?
384 cubic units
The height of a right rectangular prism is three times the width of the base. The length of the base is twice the width. Which expression represents the volume of the prism in terms of w, the width of the base?
6w3 cubic units
An oblique candle with a volume of 270 cubic centimeters is 18 centimeters tall. The width of the triangular candle base is 5 centimeters, and the width of the slanted candle is 7 centimeters What dimensions of the box are required to fit the candle?
7 cm by 6 cm by 18 cm