An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?
A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

Question

30-03-2016
Mathematics

contestada

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?
A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3

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Аноним Аноним · Answer 1 · 2016-04-07T10:10:13+02:00

The correct answer is this one: "C) 52 in3."

Given the illustration, we can be able to know the dimensions of the formed box.

The dimensions are
Length: 10 - 2x
Width: 8 - 2x
Height: x

So the volume is
Volume = (10-2x) * (8-2x) * (x)
Let x = 2.5
Volume = (5) * (3) * (2.5) = 37.5
Let x = 2
Volume = (6) * (4) * (2) = 48
Let x = 1.5
Volume = (7) * (5) * (1.5) = 52.5
Let x = 1
Volume = (8) * (6) * (1) = 48
Let x = 0.5
Volume = (9) * (7) * (.5) = 31.5

stanleyayejr stanleyayejr · Answer 2 · 2021-05-14T19:28:12+02:00

stanleyayejr stanleyayejr

14-05-2021

The Correct answer is A I took the test

Step-by-step explanation:

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An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box? A) 1.5 in3 B) 5.8 in3 C) 52 in3 D) 64 in3

Respuesta :

Otras preguntas

An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. What is the MAXIMUM possible volume for the box?
A) 1.5 in3
B) 5.8 in3
C) 52 in3
D) 64 in3