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 .
