Answer:
a) The volume in cubic inches is 36000
b) The volume in cubic feet is 125/6
c) The volume in cubic yard is 125/162
Step-by-step explanation:
* Lets study the information of the problem to solve it
- The dimensions of the piece of cardboard are 90 inches by 70 inches
- The side of the cutting square is 15 inches
- The squares are cutting from each corner
∴ Each dimension of the cardboard will decrease by 2 × 15 inches
∴ The new dimensions of the piece of cardboard are;
90 - (15 × 2) = 90 - 30 = 60 inches
70 - (2 × 15) = 70 - 30 = 40 inches
- The dimensions of the box will be:
# Length = 60 inches
# width = 40 inches
# height = 15 inches
- The volume of any box with three different dimensions is
V = Length × width × height
∵ The length = 60 inches
∵ The width = 40 inches
∵ The height = 15 inches
∴ V = 60 × 40 × 15 = 36000 inches³
a) The volume in cubic inches is 36000
* Now lets revise how to change from inch to feet
- 1 foot = 12 inches
∵ 1 foot = 12 inches
∴ 1 foot³ = (12)³ inches³
∴ 1 foot³ = 1728 inches³
∵ The volume of the box is 36000 inches³
∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6
b) The volume in cubic feet is 125/6
* Now lets revise how to change from feet to yard
- 1 yard = 3 feet
∵ 1 yard = 3 feet
∴ 1 yard³ = (3)³ feet³
∴ 1 yard³ = 27 feet³
∵ The volume of the box is 125/6 feet³
∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162
c) The volume in cubic yard is 125/162
