Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Find the volume |
Grade: 6-a Lesson: S2-L5 |
Explanation: The best way to understand measurement is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
Find the volume of a prism having a base area of 90 sq. units and a height of 6 units.
Step 1a
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To calculate the volume of a prism, you need to know the base area and height of the prism. |
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Explanation: Once you have these measurements, you can use the formula: Volume = Base × Height |
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Step 1b
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Image: If you have an image that shows the dimensions of the prism, visually determine the base and height of the prism from the image. Measure: If you have a physical prism in front of you, use a ruler or measuring tape to measure the base area and height directly. Ensure that your measurements are accurate. |
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Explanation: Here, we are knowing how to calculate the volume of different images. |
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Step 1c
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Calculation: Once you have the base area and height, multiply these values together to calculate the volume. Make sure to use consistent units (e.g., centimeters, inches, etc.) for all three dimensions. Volume = 90 sq units × 6 units = 540 cubic units. |
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Explanation: So, the volume of the prism would be 540 cubic centimeters. |
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Calculate the volume of a cylinder having a height of 10cm and a base radius of 8cm.
Step 2a
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Given Height = 10cm and Base Radius = 8 cm |
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Explanation: Here,we use the formula Volume(V)=π(pi) × r²(the radius squared) × h(the height) |
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Step 2b
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To calculate the volume of a prism, you need to know the base area and height of the prism. |
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Explanation: So, the volume of the prism would be 540 cubic centimeters. |
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Step 2c
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To calculate the volume of a prism, you need to know the base area and height of the prism. |
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Explanation: So, the volume of the prism would be 540 cubic centimeters. |
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Calculate the area of the rectangle where a length of 12 units and a width of 8 units.
Step 3a
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Given length = 12 units and width = 8 units. |
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Explanation: Here,we use the formula Area(A) = Length(L) .× Width(W) |
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Step 3b
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Substitute the values Area= 12 units × 8 units |
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Explanation: we substitute the values. |
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Step 3c
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Calculate the area Area = 96 sq units. |
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Explanation: So, the area of a rectangle is 96 sq units. |
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Calculate the square pyramid with a base length of 6 units and height of 8 units.
Step 4a
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Given Base Length = 6 units, Height = 8 units. |
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Explanation: Here, we use the formula Base Area = Length × Width |
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Step 4b
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Substitute the values: Base Area = 6 units × 6 units = 36 sq units |
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Explanation: So,the base area is 36 sq units. |
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Step 4c
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Calculate the square pyramid : Volume=\$(1/3)\$ × 36 sq units × 8 units |
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Explanation: Here,we use the formula Volume(V)= (1/3) × Base Area(B) × Height(H) |
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Step 4d
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Volume = 96 cubic units. |
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Explanation: So, the volume of the Square Pyramid would be 96 cubic units. |
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