Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.
