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. the dimensions of the larger block are double the dimensions of the smaller block. what is the volume of the larger block of wood?

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 .

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