Math 6 - FINDING THE VOLUME OF SOLID FIGURES.ppsx
0 likes394 views
The document discusses the concept of volume, specifically the relationships between the volumes of various solid figures, including rectangular prisms, cylinders, cones, and spheres. It provides examples of calculating the volume of a swimming pool and a cylindrical tank, demonstrating how to derive and apply the volume formulas. Routine problems are solved, such as determining how much water a pool can hold when partially filled.
Math 6 - FINDING THE VOLUME OF SOLID FIGURES.ppsx
- 1. FINDING THE VOLUME OF
- 2. LEARNING TARGET: a. determine the relationship of the volume between a rectangular prism & a cylinder; a cylinder & a cone, a cylinder & a sphere; b. derive the formula for finding the volume of solid figures; and c. solve routine and non-routine problems involving volume of solid figures.
- 3. is the amount of space occupied by a three-dimensional object as measured by cubic units.
- 4. Anna and Elsa cleaned their swimming pool that measures 12 m by 8 m by 9 m. How much water can fill the pool if it is ¾ full? Volume of a Rectangular Prism = Length x Width x Height V = L x W x H = 12 m x 8 m x 9 m V = 864 m3 Find the ¾ full of the volume. V = ¾ x 864 m3 V = 648 m3 The swimming pool can be filled with 648 m3 of water when it is ¾ full.
- 5. A cylindrical tank has a radius of 3 meters and height of 4 meters. How many cubic meters of water can the tank carry? Volume of a Cylinder = ꙥr2h V = 3.14 x 32 x 4 = 3.14 x 9 x 4 V = 113.04 m3 The tank can carry 113.04 m3 of water.
- 6. Volume of a Cube = side x side x side V = 3 x 3 x 3 V = 27 cubic units 3 units