Two blocks of wood are shaped as right rectangular prisms. The smaller block has a length of 9 cm, a width of 3 cm, and a height

Question

2 years ago

11

of 7 cm. The dimensions of the larger block are double the dimensions of the smaller block. What is the volume of the larger block of wood?

2 answers:

solmaris [256] · Answer 1 · 2022-08-11T16:14:25+03:00

3 0

1512 I believe! :) I would double all the dimensions first, then multiply them all together.

aliina [53] · Answer 2 · 2022-08-11T18:07:12+03:00

Answer:

Volume of the wooden block is 1512 cm³ .

Step-by-step explanation:

Formula

Volume of right rectangular prism = Length × Breadth × Height

As given

Two blocks of wood are shaped as right rectangular prisms.

The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.

As given

The dimensions of the larger block are double the dimensions of the smaller block.

Length of the larger block = 2 × Length of the smaller block

= 2 × 9

= 18 cm

Breadth of the larger block = 2 × Breadth of the smaller block

= 2 × 3

= 6 cm

Height of the larger block = 2 × Height of the smaller block

= 2 × 7

= 14 cm

Put in the formula

Volume of larger wooden block = 18 × 6 × 14

= 1512 cm³

Therefore the volume of the wooden block is 1512 cm³ .