Margaret wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 18 in. 12 in. 10 in.
She has 1 yd2 of fabric. Can she completely cover the footrest?
2 answers:
Answer:
No, she cannot completely cover the footrest.
Step-by-step explanation:
First of all, we need to find the total surface area of the prism to be covered using the cotton cloth
the total surface area of the prism is
A = 2wl + 2lh + 2hw,
l is the length of the prism = 18 in,
w= width of the prism = 12 in,
h is the height of the prism = 10 in
hence
We need to convert the area of the fabric to be in the same unit as that of the prism
Area of cotton fabric =
since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest
Answer:
The surface area of the footrest is 1032In²
And since she has 1yd²(1296in²) of fabric she cannot cover the footrest completely
Step-by-step explanation:
Kindly find attached rough sketch of the rectangular prism for your reference.
This problem bothers on the mensuration of solid shapes, a rectangular prism
To solve the problem we need to calculate the total surface area of the prism and compare it with her 1yd fabric
Given data
Length 18 in.
Width 12 in.
Height 10 in
SA=2(wl+hl+hw)
SA= 2(12*18+ 10*18+ 10*12)
SA= 2(216+180+120)
SA= 2(516)
SA= 1032In²
Let us make the comparison
1 yd² is equal to 1296in²
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