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Sagot :
Answer:
12 inches
Step-by-step explanation:
Ahmed received a box of gifts. The box is a rectangular prism with the same height and width, and the length
is twice the width. The volume of the box is 3,456 in? What is the height of the box?
Volume of a Rectangular pyramid = Length × Width × Height
From the above question
Height = Width = x
Length = 2 × Width
Length = 2x
Volume = 3,456 cubic inches
Hence,
3,456 = 2x × x × x
3456 = 2x³
x³ = 3456/2
x³ = 1728
Cube root both sides
Cube root(x³) = cube root (1728 cubic Inches)
x = 12 inches
Therefore, the height is 12 inches
Width, Height and Length of rectangular prism are 12, 12 and 24 inch respectively.
Assume;
Width of rectangular prism = a
Height of rectangular prism = a
Length of rectangular prism = 2a
We know that;
Volume of the rectangular prism = (l)(b)(h)
Volume of the rectangular prism = (2a)(a)(a)
3,456 = 2a³
a³ = 1,728
a = 12 inch
So,
Width of rectangular prism = 12 inch
Height of rectangular prism = 12 inch
Length of rectangular prism = 2(12)
Length of rectangular prism = 24 inch
Learn more:
https://brainly.com/question/16571778?referrer=searchResults
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