BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar

by VJesus12 » Fri Nov 27, 2020 12:54 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Answer: D

Source: Official Guide
Top
Source: — Problem Solving |
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a simi

by swerve » Fri Nov 27, 2020 4:06 pm
VJesus12 wrote: ↑
Fri Nov 27, 2020 12:54 am
 A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

Answer: D

Source: Official Guide
Volume \(= l \cdot b \cdot h = 10 \, ft^3\)
Now we have twice as long, twice as wide, and twice as high as the first sandbox,
\(L=2\cdot l\)
\(B=2\cdot b\)
\(H=2\cdot h\)
Final volume \(=L\cdot B\cdot H =2\cdot l\cdot 2\cdot b\cdot 2\cdot h = 8\cdot (l\cdot b\cdot h) =8\cdot 10=80 \,ft^3\)

Therefore, D
Top
Post new topic Post Reply
• Page 1 of 1