SOLUTION: A box company produce 2 sizes of pizza boxes. The smaller box has a surface area of 260 square inches. The larger box has a length, width, and height that are twice those of the

Question 174447: A box company produce 2 sizes of pizza boxes. The smaller box has a surface area of 260 square inches. The larger box has a length, width, and height that are twice those of the smaller box. What is the surface area of the larger box?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A box company produce 2 sizes of pizza boxes. The smaller box has a surface
area of 260 square inches. The larger box has a length, width, and height
that are twice those of the smaller box. What is the surface area of the larger box?
:
The surface area of the small rectangular box
2LW + 2LH + 2WH = 260
:
Simplify divide by 2
LW + LH + WH = 130
:
Big Box S.A, (doubling length, width, and height)
SA = 2(2L*2W) + 2(2L*2H) + 2(2W*2H)
SA = 8LW + 8LH + 8WH
:
factor out 8
SA = 8(LW + LH + WH)
:
from the small box we have: LW + LH + WH = 130, so we have
SA = 8(130)
SA = 1040 sq/in surface area of the big box
RELATED QUESTIONS
A packing box has a dimension of 4 inches by 9 inches by 2 inches. A smaller box has a... (answered by josgarithmetic)

Use your knowledge of polynomials to help the company design the box for one of its... (answered by ikleyn)

A cube shaped jewelry box has a surface area of 300 square inches,What are the dimensions (answered by Alan3354)

who made/ created math They are a bad person Math is hard Warm-up: The Movie Palace... (answered by josgarithmetic)

a box has a square base, with xcm sides, and the height 2cm more then the length, the... (answered by ewatrrr)

A box has a square top and bottom. The height of the box is 5cm. Find its volume if the... (answered by MathLover1)

a box has a square bottom and is 6cm tall. the total surface area is 378 cm^2. find the... (answered by richwmiller)

A shoebox has a surface area of 288 square inches. If the height of the box is doubled,... (answered by Alan3354)

A pizza parlor has two different sizes of pizza. The smaller one has a diameter of 10... (answered by Cromlix)