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3 years ago

Find the volume of the prism

Mathematics

1 answer:

Ghella [55]3 years ago

6 0

Answer:

The volume is: $135m^3$

Step-by-step explanation:

Given

$h = 5m$ ---- height

$l=9m$ -- length

$w = 6m$ --- width

Required

Determine the volume (V)

The volume of a triangular prism is:

$V = 0.5lwh$

So, we have:

$V = 0.5 * 5m * 9m * 6m$

$V = 135m^3$

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Answer:

$\frac{-5}{8}\times \frac{2}{3}=\frac{-5}{12}$ or -0.42

Step-by-step explanation:

Given:

The statement says -5/8 times 2/3

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$=\frac{-5}{8}\times \frac{2}{3}$

$=\frac{-5\times 2}{8\times 3}$

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ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

The width of the field is 87 yards

To find the length of the rectangular field, follow the steps below

Step 1: Write the formula for finding the perimeter of a rectangular field

$\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}$

Step 2: Substitute the given data into the formula in step 1

$\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{ 372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{ subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{ 99 = l} \\ l\text{ = 99 yards} \end{gathered}$

Hence, the length of the rectangular field is 99 yards

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