Question

A wall is 22.5 meter long, 10 meter high and 33 meter thick. What will be the number of bricks used to build this wall if each brick is 22 cm ×15 cm ×9 cm?
A.2500000
B.20000
C.10000
D.15000

Answer 1

Hint: All angles in a rectangular cuboid are right angles, and the cuboid's opposite faces are equal. This makes it a right rectangular prism by definition, and it's also known as a rectangular parallelepiped or an orthogonal parallelepiped polyhedron. However, because they do not define all angles, the words "rectangular prism" and "oblong prism" are confusing. We use the cuboid concept here.
Formula used
Cuboid = l b h cubic unit

Complete step-by-step answer:
The volume of a cuboid is the amount of space it takes up in three dimensions. A three-dimensional structure with six rectangular sides is known as a cuboid. The cuboid's six faces are arranged in a pair of three parallel faces. As a result, the volume is a measurement based on the length, breadth, and height of these faces. The entire area covered by the faces of a cuboid is its surface area. Cuboid Volume = Length x Width x Height (Cubic Unit). When the area of a cuboid's faces is the same, we refer to it as a cube. All of a cube's faces have the same area since they are all squares.
Here Number of bricks required can be expressed as $\frac{{{\text{Volume of a Wall}}}}{{{\text{Volume of a Brick}}}}$
Now Volume of a wall is
${\text{Volume = lbh}}$
${V_W} = 22.5 \times 10 \times 33$
${V_W} = 7425{m^3}$
Now Volume of a brick is
${\text{Volume = lbh}}$
${V_B} = 0.22 \times 0.15 \times 0.09$ (This is done by converting cm to meter)
${V_B} = 0.00297{m^3}$
Now using
Number of bricks = $\frac{{{\text{Volume of a Wall}}}}{{{\text{Volume of a Brick}}}}$
Number of bricks = $\frac{{{\text{7425}}}}{{{\text{0}}{\text{.00297}}}}$
$ \Rightarrow $Number of bricks = ${\text{2500000}}$
So, the correct answer is “Option A”.

Note: Note that the number of bricks has no unit.
We should always divide the bigger unit by the smaller individual unit.
A three-dimensional shape's volume Cuboid is the amount of space filled by the form cuboid in general. Because all of a cuboid's faces are rectangular, the phrase "Solid Rectangle" is also known as "Cuboid." All of the angles in a rectangular cuboid are right angles, and the cuboid's opposite faces are equal.