Answer:
C. [tex]132m^3[/tex]
Step-by-step explanation:
Height = 4
Length = 6
Breadth = 7
Note : We were asked to find volume of the cuboid
Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.
Step 1
Find the area of the trapezium
Area of a trapezium = [tex]\frac{1}{2} (a+b)h[/tex]
[tex]\frac{1}{2} (4+7)*4[/tex]
[tex]\frac{1}{2} (11)4\\[/tex]
[tex]\frac{1}{2} *44\\= 22[/tex]
Step 2
Calculate the volume of the cuboid
Volume of a cuboid =length× breadth × height
In this case , the volume will be our length × Area of a trapezium
V= 6 × 22
V = [tex]132m^3[/tex]
