Answer:
1)
2) 16 m
Explanation:
1)
The hole in the ground has the shape of a prism, so its volume can be calculated as the volume of a prism:
where:
l is the length
w is the width
h is the height of the prism
For the hole in this problem, we have:
l = 5 m (length)
w = 3 m (width)
h = 6 m (height)
Therefore, the volume of the hole (and of earth removed) is
2)
The base of the room in this problem has the shape of a rectangle, so we can write its area s
where:
l is the length
w is the width (breadth)
For the room in this problem, we have:
is the area of the base of the room
w = 6 m (breadth)
Therefore, the length of the room can be found by re-arranging the equation: