Triangular Prism Solid Volume Calculation
The volume of any prism is found by multiplying its base area by its height.
The formula is:
$ V = \text{Base Area} \times \text{Height} $
Total Prism Volume Calculation
We are given the following information:
- Base Area = \(45 \text{ cm}^2\)
- Height = \(14 \text{ cm}\)
First, calculate the total volume of the prism:
$ V_{\text{total}} = 45 \text{ cm}^2 \times 14 \text{ cm} $
$ V_{\text{total}} = 630 \text{ cm}^3 $
Solid Part Volume Calculation
10% of the prism's volume is hollowed out for wiring. This means the remaining solid part represents 90% of the total volume.
Percentage of solid part = \(100\% - 10\% = 90\%\)
Now, calculate the volume of the solid part:
$ V_{\text{solid}} = 90\% \times V_{\text{total}} $
$ V_{\text{solid}} = 0.90 \times 630 \text{ cm}^3 $
$ V_{\text{solid}} = 567 \text{ cm}^3 $
Therefore, the volume of the solid part of the triangular prism is \(567 \text{ cm}^3\).
Similar Questions
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Important Questions from Mensuration
The areas of three adjacent faces of a cuboidal tank are 3 m 2, 12 m 2 and 16 m 2. the capacity of the tank, in litres, is:
Volume of a cuboid is 4800 cm 3. If the height of this cuboid is 20 cm, then what will be the area of the base of cuboid ?
Two similar cubes have heights of 8 cm and 12 cm, respectively. If the capacity of the smaller cube is 80 cm 3, what is the capacity of the bigger cube (in cm 3)?
Three circles of radius 7 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
Three circles of radius 6 cm are kept touching each other. The string is tightly tied around these three circles. What is the length of the string?
