Unit Test
The volume of an object is equal to the ratio of its mass to density, V = m/d. The mass of a spherical grape is 8.4 grams and its density is 2 grams per cubic centimeter. What is the radius of the grape? Round to the nearest tenth of a centimeter.
1.0 cm
An oblique prism with a square base of edge length x units has a volume of 1/2x3 cubic units. Which expression represents the height of the prism?
1/2x units
A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?
1/3(5.2)h cm3
A solid right pyramid has a regular hexagonal base with an area of 7.4 units2. The pyramid has a height of 6 units. What is the volume of the pyramid?
14.8 units3
The right triangular prism has a volume of 1,152 cm3. What is the value of x, the height of the prism?
16
A right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet. What is the height of the pyramid?
16 feet
A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 ft and an area of 8 ft2. Angle ACB measures 30°. What is the volume of the pyramid, to the nearest cubic foot?
19 ft3
The volume of the triangular block is 4 cubic inches. What is the approximate length of y? Round to the nearest tenth of an inch.
2.8 in.
What is the volume of the right rectangular prism?
240 cm3
The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder, in units?
2x
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
An oblique cylinder is shown. Which represents the volume of the cylinder, in cubic units?
300π
The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone?
32π cubic units
An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units. What is the perpendicular height of the prism?
6 units
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder?
640π cubic units
The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of x root of 3 units. Which expression represents the area of the base of the pyramid?
6x^2√3 units^2
A cone fits inside a square pyramid as shown. For every cross section, the ratio of the area of the circle to the area of the square is pir squared/4r squared or pi/4. Since the area of the circle is pi/4 the area of the square, the volume of the cone equals
B
A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid?
B
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units. Which best describes the resulting three-dimensional shape?
a cone with a base radius of 17 units
Every possible cross section of a three-dimensional figure is a circle. What is the figure?
cylinder
Which three-dimensional figure has the greatest number of faces?
octagonal pyramid
Which shape could be thought of as being created by stacking congruent polygons?
rectangular prism
Which three-dimensional figure has double the number of edges as faces?
rectangular prism
The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. Which expression represents the height of the triangular base of the pyramid?
s/2root of 3 units
Which three-dimensional figure has exactly three rectangular faces?
triangular prism
