Question

and breadth 415 m. What
the
D
e
b Find the length of a ros
mose area is 96 sq. m and breadth som
a A hole dug in the ground is
as 5 m long, 3 m broad, and 6 m deep Finn
earth that was removed.​

Answer 1

Answer:

1) $90m^3$

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:

$V=lwh$

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

$V=5\cdot 3 \cdot 6 =90 m^3$

2)

The base of the room in this problem has the shape of a rectangle, so we can write its area s

$A=lw$

where:

l is the length

w is the width (breadth)

For the room in this problem, we have:

$A=96 m^2$ 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:

$l=\frac{A}{w}=\frac{96}{6}=16 m$