Question

The height of one cottage will be 3 meters, and the volume will be 108 cubic meters. What tool can help you find different dimensions for the floor? Give two different possible pairs of dimensions for the floor.Explain.

Answer 1

Answer:

Step-by-step explanation:

A.

• Models

• Drawing - geometry

B.

Given:

Height, h = 3 m

Volume of prism, V = 108 m^3

Volume of the rectangular prism, V = Area of the base, A × height, h

Area, A = 108/3

= 36 m^2

Area of the rectangle, A = length, L × width, B

LB = 36 m^2

Dimensions:

1. Length: 18 m

Width: 2 m

2. Length: 9 m

Width: 4 m

3. Length: 12 m

Width: 3 m

Since the area of the base Is equal to the area of a rectangle, therefore the sides are just multiples of 36. That is, 12 × 3, 9 × 4 and 18 × 2