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The area of a rectangle is 27 square feet. What are the measurements of the length and width? What is the perimeter? Length =
qquad Width
=
qquad
Perimeter
=
qquad
What is the volume of a rectangular prism with the width of
5cm, length of
9cm, and the height of
6cm ?
qquad

The area of a rectangle is $27$ square feet. What are the measurements of the length and width? What is the perimeter? Length = $\qquad$ Width $=$ $\qquad$ $\newline$ Perimeter $=$ $\qquad$ $\newline$ What is the volume of a rectangular prism with the width of $5 \mathrm{~cm}$ , length of $9 \mathrm{~cm}$ , and the height of $6 \mathrm{~cm}$ ? $\qquad$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. The area of a rectangle is

27

square feet. What are the measurements of the length and width? What is the perimeter? Length =

\qquad

Width

=

\qquad

\newline

Perimeter

=

\qquad

\newline

What is the volume of a rectangular prism with the width of

5 \mathrm{~cm}

, length of

9 \mathrm{~cm}

, and the height of

6 \mathrm{~cm}

?

\qquad

Find Rectangle Dimensions: To find the dimensions of the rectangle, we need two factors of $27$ that will represent the length and width. Let's use $9$ feet for the length and $3$ feet for the width since $9 \times 3 = 27$ .
Calculate Perimeter: Now, let's calculate the perimeter of the rectangle. The formula for the perimeter is $P = 2 \times (\text{length} + \text{width})$ . So, $P = 2 \times (9 + 3) = 2 \times 12 = 24$ feet.
Calculate Volume: For the volume of the rectangular prism, we use the formula $V = \text{length} \times \text{width} \times \text{height}$ . So, $V = 9\,\text{cm} \times 5\,\text{cm} \times 6\,\text{cm} = 270\,\text{cubic centimeters}$ .

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