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MATH / A company makes a six-sided hollow aluminum container in the shape of a…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

A company makes a six-sided hollow aluminum container in the shape of a rectangular prism as shown. The container is $10^{''}$ by $10^{''}$ by $12^{''}$. Aluminum costs $0.05\$0.05 per square inch. What is the cost, in dollars, of the aluminum used to make one container? [asy] import three; draw((0,0,0)--(1,0,0)--(1,1,0)--(0,1,0)--(0,0,0)--cycle,linewidth(1)); draw((1,0,0)--(1,0,-1)--(1,1,-1)--(1,1,0)--(1,0,0)--cycle,linewidth(1)); draw((0,1,0)--(1,1,0)--(1,1,-1)--(0,1,-1)--(0,1,0)--cycle,linewidth(1)); label("$12^{''}$",(1,0,-.5),W); label("$10^{''}$",(.5,0,0),N); label("$10^{''}$",(0,.5,0),N); [/asy]
Plain-text mathematical notation (without MathML)
A company makes a six-sided hollow aluminum container in the shape of a rectangular prism as shown. The container is $10^{''}$ by $10^{''}$ by $12^{''}$. Aluminum costs $0.05 per square inch. What is the cost, in dollars, of the aluminum used to make one container?

[asy]

import three;

draw((0,0,0)--(1,0,0)--(1,1,0)--(0,1,0)--(0,0,0)--cycle,linewidth(1));

draw((1,0,0)--(1,0,-1)--(1,1,-1)--(1,1,0)--(1,0,0)--cycle,linewidth(1));

draw((0,1,0)--(1,1,0)--(1,1,-1)--(0,1,-1)--(0,1,0)--cycle,linewidth(1));

label("$12^{''}$",(1,0,-.5),W);

label("$10^{''}$",(.5,0,0),N);

label("$10^{''}$",(0,.5,0),N);

[/asy]
Original LaTeX notation
A company makes a six-sided hollow aluminum container in the shape of a rectangular prism as shown. The container is $10^{''}$ by $10^{''}$ by $12^{''}$. Aluminum costs $\$0.05$ per square inch. What is the cost, in dollars, of the aluminum used to make one container?

[asy]

import three;

draw((0,0,0)--(1,0,0)--(1,1,0)--(0,1,0)--(0,0,0)--cycle,linewidth(1));

draw((1,0,0)--(1,0,-1)--(1,1,-1)--(1,1,0)--(1,0,0)--cycle,linewidth(1));

draw((0,1,0)--(1,1,0)--(1,1,-1)--(0,1,-1)--(0,1,0)--cycle,linewidth(1));

label("$12^{''}$",(1,0,-.5),W);

label("$10^{''}$",(.5,0,0),N);

label("$10^{''}$",(0,.5,0),N);

[/asy]

level

Level 3

type

Geometry

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Source and history

task_id
028207f6-21ba-570a-92c0-a754b3d5e193
task_key
geometry--test--028207f6-21ba-570a-92c0-a754b3d5e193
task_revision_id
1
config / split
geometry / test

Official source

initial import