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Alex787 [66]
3 years ago
15

A rectangle prism is 8 inches long and 5 inches wide. It is filled with water up to 2 inches below the top. The height of the wa

ter in the prism is 4 inches. What is the value of the rectangle prism?
Mathematics
1 answer:
Tamiku [17]3 years ago
8 0

The volume of the rectangular prism is 240 in³

<u>Explanation:</u>

Given:

Length of the prism, l = 8 in

Width of the prism, w = 5 in

Height of the prism, h = 2 + 4 in

                                 h = 6 in

Volume of the rectangular prism = length X width X height

V = 8 in X 5 in X 6 in

V = 240 in³

Therefore, the volume of the rectangular prism is 240 in³

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Given: m∠EYL=72°<br> Find: mEHL , mLVE
White raven [17]

Answer:

Part 1) The measure of arc EHL is 108\°

Part 2) The measure of angle LVE is 54\°

Step-by-step explanation:

step 1

Let

x-----> the measure of arc EHL

y----> the measure of arc EVL

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

m

we have

m

substitute

72\°=\frac{1}{2}(y-x)

144\°=(y-x)

y=144\°+x ------> equation A

Remember that

x+y=360\° -----> equation B ( complete circle)

substitute equation A in equation B and solve for x

x+(144\°+x)=360\°

2x=360\°-144\°

x=216\°/2=108\°

Find the value of y

y=144\°+x

y=144\°+108\°=252\°

therefore

The measure of arc EHL is 108\°

The measure of arc EVL is 252\°

step 2

Find the measure of angle LVE

we know that

The inscribed angle measures half that of the arc comprising

Let

x-----> the measure of arc EHL

m

we have

x=108\°

substitute

m

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Answer:

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