Question

Help I Will Give Brainliest If Correct

Answer 1

Hi!

The formula for volume is length * width * height

We are given the area of the base of the figure and the height.

The volume for area is length * width

That means that the length * width part of the volume formula is already done, so we just have to multiply that by the height.

$3 \frac{3}{8}$ * $2$

$6 \frac{6}{8}$ $= 6\frac{3}{4}$

For other volume-related questions, see:

https://brainly.com/question/18571772

Answer 2

Solution:

We know that:

• Volume = L × B × H
• If L and B are multiplied, they will find the area of the base.
• L × B = Area of base of rectangular prism.

If L and B are multiplied, they will find the area of the base.

This means that:

• Area of base of rectangular prism = L × B = 3 3/8 units²
• Volume = Area of base of rectangular prism × H

Substitute the area of base of rectangular prism in the volume formula.

• Volume = Area of base of rectangular prism × H
• => Volume = 3 3/8 × H

Substitute the height in the volume formula.

• => Volume = 3 3/8 × 2

You can further solve this in two methods. You can use any of them.

Method #1:

Convert the mixed fractions into improper fraction.

• => Volume = [(3 × 8 + 3)/8] × 2
• => Volume = [(24 + 3)/8] × 2                                            [Multiplication first]
• => Volume = [(27)/8] × 2
• => Volume = 27/8 × 2

Multiply the fractions

• => Volume = 54/8 units³ = 27/4 units³

Convert the volume into mixed fraction:

• 27/4 = 24/4 + 3/4 = 6 + 3/4 = 6 3/4 units³

Method #2:

Break 3 3/8 into smaller parts:

• (3 3/8) × 2
• => (24/8 + 3/8) × 2

Simplify the distributive property:

• => 2(3) + 2(3/8)
• => 6 + 6/8 = 6 6/8 = 6 3/4 units³

Likewise, you can use any method, it will give the same result.

~If you have questions about my answer, don't hesitate to post it in the comments~

Hoped this helped!