Answer:
1,512 cm³
Step-by-step explanation:
The general formula for the volume of a prism is:
V= Bh, where B = the area of the base and h = height of the prism
Given the dimensions of the smaller block as 9cm x 3cm x 7cm, then the dimensions of the larger block (double the dimensions of the smaller block) must be 18cm x 6cm x 14cm. Using these measurements:
V = (18)(6)(14) = 1,512 cm³
No, Yes, No, Yes
using the laws of exponents
(1)
(
)³ = 
4³ × 4³ = 
≠ → No
(2)
(
)^4 = 
× = → Yes
(3)
= (6 × 3 )^8 = 
× ≠ 
× → No
(4)
= (4 × 5 )³ = 4³ × 5³ → Yes
