Prisms
Pyramids
Cylinder
Cone
Sphere
100
Find the volume of a cube with a side of 8cm.
V = 8 x 8 x 8 =512 cubic cm
100
Square pyramid with side length of 7in. and height of 13in. Find the volume to the nearest tenth.
V = 1/3 BH = 1/3 x 7 x 7 x 13 =212.3 cubic inches
100
A cylinder has a radius of 21 inches and a height of 10 inches. Find the volume of the cylinder.
V = π 21^2 x 10 = 4410π or 13854 cubic inches
100
A cone has a radius of 10 inches and a height of 12 inches. Find the volume of the cone.
V = 1/3 x π10^2 x 12 = 400π or 1256.6 cubic inches
100
A sphere has a radius of 10ft. Find the volume in terms of π.
V = 4/3 π10^3 = 133.3π cubic feet
200
Cube with side of 1/3 ft. Find the volume.
V = 1/3 x 1/3 x 1/3 =1/27 or 0.037 cubic feet
200
Triangular pyramid. Base length of 8cm., base height of 12cm., and the height of the pyramid is 3cm. Find the volume.
V = 1/3 x BH = 1/3 x (8 x 12)/2 x 3 = 48 cubic centimeters
200
A cylinder has a radius of 1.4 meters and a height of 6 meters. Find the volume.
V = π 1.4^2 x 6 = 11.76π or 36.9 cubic meters
200
If the radius of a cone is 1mm and the height is 3mm then what is the volume?
V = 1/3 x π1^2 x 3 = π or 3.14 cubic mm
200
A sphere has a diameter of 18in. What is the volume?
V = 4/3 π9^3 = 972π or 3,053.6 cubic inches
300
The volume of a rectangular prism is 105 cubic inches,with a width of 8in and height of 5.25in. Find the length.
105 =8 x 5.25 x length, length= 2.5in.
300
Rectangular pyramid. Length of 6cm, width of 3.5cm, and volume of 28cm3. How tall is the pyramid?
V= 1/3 BH, 28 = 1/3 x 6 x 3.5 x Height, Height = 4cm
300
A cylinder has a diameter of 28ft. and a height of 3/4 ft. Find the volume.
V = π 14^2 x 3/4 = 147π or 461.8 cubic inches
300
What is the volume of a cone with a diameter of 4cm and height of 2.4cm?
V = 1/3 x π2^2 x 2.4 = 3.2π or 10 cubic meters
300
If the radius of a sphere is 1/2 mm what is the surface area?
SA = 4 π(1/2)^2 = π or 3.14 square mm
400
Triangular Prism with base length of 17in., base height of 13in., and prism height of 30.5in. Find the volume.
V = (17x13)/2 x 30.5 = 3370.25 cubic inches
400
A pyramid with a square base has a volume of 400cm3 and a height of 12cm. Find the length of the side.
400 =1/3 x area of square x 12, side =10cm
400
A cylinder has a volume of 420πcm3 and a radius of 10cm. Find the height of the cylinder.
420π= π 10^2 x H, H = 4.2cm
400
If the volume of a cone is 4π cubic ft and the height is 1/3 ft., then what is the radius of the cone?
4π= 1/3 x πr^2 x 1/3, r = 6ft
400
The radius of a sphere is 2.6cm. Find the surface area to the nearest tenth.
SA = 4 π2.6^2 = 27.04π or 84.9 cubic cm
500
Find the volume of a trapezoidal prism with bases of 3 and 5 inches, a height of 2 inches, and the height of the solid as 7 inches.
V = (3+5)2/2 x 7 =56 cubic inches
500
A trapezoidal pyramid has bases of 5cm and 7cm, with a base height of 3cm, and a pyramid height of 4cm. Find the volume.
V = 1/3 BH = 1/3 x (5+7)3/2 x 4 = 24 cubic cm
500
The surface area of a sphere is 36π ft. Find the volume.
r = 3, V = 36π or 113 cubic feet
M
e
n
u