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Ket [755]
3 years ago
9

Assume the triangular prism has a base area of 49 cm^2 and a volume of 588 cm^3. Which base side length does the rectangular pri

sm need to have the same volume?

Mathematics
1 answer:
andre [41]3 years ago
8 0

Answer:

Length = Width = 7 cm

Step-by-step explanation:

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The circumference of a circle is 11 pi ft. find its diameter, in feet​
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3 years ago
A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is
Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length  of the storage space.

let the width of the basement be "w"

Given data

volume v=595ft^{3}

length l = 7w ft

width w= w

height h= 5 ft

We know that the expression for the volume of a rectangular prism is

volume= length * width* height

substituting our data we have to find "w"

595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\

dividing both sides by 35 we have

w^{2}= \frac{595}{35\\}  \\w^{2}= 17\\

find the square root of both sides we have

w=\sqrt{17} \\w= 4.12

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

length= 7*4.12= 28.86ft\\width = 4.12ft

6 0
3 years ago
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