Question

Previous Answer: 407 Things to consider! • What are the solid/solids of the figure? • What are you being asked to find? • What are you being given? Along with the dimensions shown below the house is also 7m wide. What is the volume of this house? 15mAlong with the dimensions shown below the house is also 7m wide. What is the volume of this house?Base=15 mHeight = 5m Width=7mHeight triangular part=8m

Answer 1

EXPLANATION

Let's see the facts about the house:

Base=15 m

Height = 5m

Width=7m

Considering the first part of the house as a rectangular one, the volume is:

`\text{Volume}_{rec\tan gular\text{ part}}=\text{Base}\cdot\text{Height}\cdot Width=15m\cdot5m\cdot7m=525m^3`

Now, we need to consider the attic as a triangular part, so we need to apply the triangular prism volume formula:

`\text{Volume}_{\text{attic}}=(1)/(2)\text{Base}\cdot\text{Height}\cdot Width=(1)/(2)\cdot15m\cdot8m\cdot7m=420m^3`

The total volume is 525+420 = 945m^3