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Please answer this correctly

Please answer this correctly-example-1
User Kenik
by
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2 Answers

0 votes

Answer:

volume = 75 cubic yards

Explanation:

Base is 3×5 or 15 yd²

110-15-15=b×3×2+b×5×2

80=6b+10b

80=16b

Divide both sides by 16

b=5

The height of the rectangular prism is 5 yards

Now the volume is l×w×h

3×5×5=

75 yd³ or 75 cubic yards

User Karrin
by
4.4k points
0 votes

Answer:

Volume = 75 yards³

Explanation:

Surface Area = 110 yards²

But

Surface area = 2(wl+lb+bw) --(1)

Where w is the width , l is length and b is height

L = 5 yards, w = 3 yards

Putting in (1)

110 = 2{(3)(5)+(5)b+3b}

110 = 2(15+5b+3b)

110 = 2(15+8b)

110 = 30+16b

16b = 110-30

16b = 80

Dividing both sides by 18

b = 5

Now

Volume of rectangular prism = wlb

Where w is width, l is length and b is height

= (5)(3)(5)

= 75 yards³

User Oana Andone
by
4.6k points