The volume of this box is 288 cubic cm, and the height is 4 cm. the length is triple the height, how do you find the width?

Question

Eli Assouline · Accepted Answer

The width is #6# cm. You can find it by taking the formula for the volume of a cube and rearranging it to find the width.

The product of a cube's length, width, and height is its volume; #V = l xx w xx h# In this problem, we are given that the volume of the box is #288# cubic cm: #V=288# and that the height is #4# cm: #h = 4#. We also know that the length is three times the height: #l = 3h#. Thus, if we enter the problem's information into the volume formula: #288 = 3(4) xx w xx 4# #w = (288)/(3(4) * 4) = (72)/12 = 6#

Nathan Axel · Answer

undefined To find the width of the box, you can use the formula for the volume of a rectangular box:

$$ V = l \times w \times h $$

Given that the volume $ V = 288 $ cubic cm and the height $ h = 4 $ cm, and the length $ l $ is triple the height, we have:

$$ l = 3h = 3 \times 4 = 12 \text{ cm} $$

Now, substitute the known values into the formula and solve for the width $ w $:

$$ 288 = 12 \times w \times 4 $$

$$ w = \frac{288}{12 \times 4} $$

$$ w = \frac{288}{48} $$

$$ w = 6 \text{ cm} $$

So, the width of the box is $ 6 $ cm.