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24 votes
will a 13 inch rusty metal bar fit into a box (rectangular prism) with dimensions 9 inches by 8 inches by 3 inches?

2 Answers

7 votes

Answer:

Answer:

Bar will not fit in the box.

Explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

Explanation:

User Crowleym
by
4.5k points
5 votes

Answer:

Bar will not fit in the box.

Explanation:

Given:

Length = 9 in

Width = 8 in

Height = 3 in

Length of bar = 13 in

Find:

Bar fit in box or not

Computation:

If length of bar is equal to length of diagonal than it will fit in box.

Diagonal of a cuboid = √l² + b² + h²

Diagonal of a cuboid = √9² + 8² + 3²

Diagonal of a cuboid = √81 + 64 + 9

Diagonal of a cuboid = √154

Diagonal of a cuboid = 12.40 in

Diagonal of a cuboid < Length of bar

So,

Bar will not fit in the box.

User Acheo
by
2.9k points