Question
The volume, V, of a rectangular prism is determined using the formula V=/wh where / is the length w is the width, and his the height of the prism. Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth. 0.2 inches 4.5 inches 46.1 inches 414.7 inches
Solution
4.7
(153 Votos)
Ronaldinho
Especialista · Tutor por 3 anos
Resposta
The width of the rectangular prism is approximately 4.5 inches.
Explicação
## Step 1The volume of a rectangular prism is given by the formula:###
where
is the volume,
is the length,
is the width, and
is the height.## Step 2We are given the volume
cubic inches, the height
inches, and the length
inches. We are asked to find the width
.## Step 3We can rearrange the volume formula to solve for the width:###
## Step 4Substitute the given values into the formula:###
## Step 5Calculate the value of
.## Step 6Round the result to the nearest tenth.