The concrete base of Miss Morgan's new bungalow is shown below. 20m 5m Diagram not drawn to scale The concrete base of Miss Morgan's bungalow is 0.2m thick. Diagram not drawn to scale Calculate the volume of the concrete base.
Answer:
64 m³
Step-by-step explanation:
The dotted line divides the base of the concrete into two rectangles
We can use the following information
Area of a rectangle = length x width
Volume of a solid prism = Surface area x height
One rectangle is of size 5m x 4m and its area = 5 x 4 = 20 m²
The other rectangle is of size 20m x 15m and its area = 20 x 15 = 300 m²
Total area of concrete base = 20 + 300 = 320 m²
This is the surface area of the concrete base
The concrete base has a depth of 0.2 m.
We can visualize the entire base as a composition of two rectangular prisms.
The total volume of this base = Total Surface Area x Depth
= 320 x 0.2
= 64 m³