Answer:
490 [tex]cm^{3}[/tex] and 1,701 [tex]cm^{3}[/tex]
Step-by-step explanation:
Problem 1:
Given dimensions:
Length (L) = 14 cm
Width (W) = 7 cm
Height (H) = 5 cm
The formula in getting the volume of a rectangular prism is obtained by:
V = L x W x H
By using the formula, we get:
V = 14 x 7 x 5 = 490 [tex]cm^{3}[/tex]
Problem 2:
Length (L) = 21 cm
Width (W) = 9 cm
Height (H) = 9 cm
The formula in getting the volume of a rectangular prism is obtained by:
V = L x W x H
By using the formula, we get:
V = 21 x 9 x 9 = 1,701 [tex]cm^{3}[/tex]
Therefore, the volume of the rectangular prism for problem 1 equals to 490 [tex]cm^{3}[/tex], while the volume for the rectangular prism for problem 2 equals to 1,701 [tex]cm^{3}[/tex].
NOTE: We must always remember that the units for volume must always be raised to the power of 3. Examples of which are: [tex]m^{3}[/tex], [tex]cm^{3}[/tex], [tex]ft^{3}[/tex], [tex]mm^{3}[/tex], and etc.
