Answer:
Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Step-by-step explanation:
First, we will calculate the area of the piece of wood Heather has
Area (A) = Length (l) × Width (w)
From the question, l = 14 inches and w = 13 inches
A = 14 inches × 13 inches
A = 182 squares inches
Hence, the area of the piece of wood is 182 square inches
Now, we will calculate the total surface area of the box she desires to make
Area (A) of a box is given by
A = 2lw + 2lh + 2wh
Where l is the length
w is the width and
h is the height
She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.
i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches
∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)
A = 84.5 + 39 + 39
A = 162.5 square inches
Hence, the area of the box she wants to make is 162.5 square inches
Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
