Answer:
To calculate the volume of the vase, we need to first find the internal dimensions of the vase. Since the base has a thickness of half an inch on each side and the bottom, we need to subtract these from the original dimensions.
Given:
Height (h) = 10 inches
Width (w) = 6 inches
Length (l) = 2 inches
Thickness of the base = 0.5 inches
For the internal dimensions:
Internal Height = Height of vase - Thickness of the base = 10 inches - 0.5 inches = 9.5 inches
Internal Width = Width of vase - Thickness of the base * 2 = 6 inches - (0.5 inches * 2) = 5 inches
Internal Length = Length of vase - Thickness of the base * 2 = 2 inches - (0.5 inches * 2) = 1 inches
Now, we can calculate the volume of the vase using the formula for the volume of a rectangular prism:
Volume
=
Height
×
Width
×
Length
Volume=Height×Width×Length
Substituting the internal dimensions into the formula:
Volume
=
9.5
×
5
×
1
Volume=9.5×5×1
Volume
=
47.5
cubic inches
Volume=47.5cubic inches
So, the volume of the vase is 47.5 cubic inches.
Step-by-step explanation:
