Learning Substitution and Formulas

Learning Substitution and Formulas

This is a cube. All side lengths are the same.

A formula is a math rule using symbols.

Area of a Rectangle: A=b x h

Area of Triangle: A=1/2 b x h

Volume of a cube: V=s³

If the SIDE of a CUBE is 4", find the volume of the cube (V=s³)

4³

4 x 4 x 4

64

Multiple Choice

The side of a cube is 3". Find the volume of the cube.(V=s³)

• 27

• 9

• 18

Multiple Choice

The side of a cube is 6". Find the volume of the cube.(V=s³)

• 18

• 36

• 216

• 632

Multiple Choice

The side of a cube is 5". Find the volume of the cube.(V=s³)

• 53

• 15

• 125

The formula the volume of a rectangular prism is length · width ⋅ height

or V = l · w · h

A rectangular prism is 2" long, 3" wide and 5" tall. Find its Volume (V = l · w · h)

2 x 3 x 5

30

Multiple Choice

Use the formula to find the volume of a prism with length of 10 inches, width of 2.5 inches, and a height of 7 inches. (V = l · w · h)

• 175 cubic inches

• 250 cubic inches

• 19.5 cubic inches

Multiple Choice

Use the formula to find the volume of a prism with length of 20 in a width of 2.5 in and a height of 8 in. (V = l · w · h)

• 29.5 cubic in

• 50 cubic in

• 400 cubic in

• 1600 cubic in

Multiple Choice

Find the volume of a prism with a side length of 4 mm, a width of 2.5 mm and a height of 12 mm. (V = l · w · h)

• 124

• 120

• 18.5

The formula for finding the Surface Area of a cube is  SA= 6s² , where s is the length of one side of the cube. 

If the side of a cube is 5 in, find its Surface Area. (SA= 6s²)

6 x 5²

6 x 25

150 square in

Multiple Choice

If the side of a cube is 4 in, find its Surface Area. (SA= 6s²)

• 16 sq in

• 48 sq in

• 96 sq in

• 4096 sq in

Multiple Choice

If the side of a cube is 3 in, find its Surface Area. (SA= 6s²)

• 18 sq in

• 54 sq in

• 36 sq in

• 136 sq in

Multiple Choice

If V=s³, find the volume of a cube with a side length of 3 in.

• 54 cubic in

• 6 cubic in

• 9 cubic in

• 27 cubic in

Multiple Choice

If V= l x w x h, find the volume of a prism that has a length of 5.5, and width of 12 and a height of 3.

• 66 cubic units

• 36 cubic units

• 198 cubic units

• 20.5 cubic units

Multiple Choice

Find the surface area of a cube with a side length of 7 mm. (SA = 6s²)

• 84 square mm

• 294 square mm

• 1764 square mm

• 134 square mm