Total Surface Area of Cube and Cuboid

Three metallic cubes whose edges are in the ratio $3:4:5$ are melt to from a single cube whose diagonal is $12\sqrt{3} \mathrm{cm}$. What are the lengths of the edges $(\mathrm{in} \mathrm{cm})$ of the three cubes?

A room is $12 \mathrm{m}$ long $9 \mathrm{m}$ broad and $8 \mathrm{m}$ high.The length of the longest bamboo pole that can be placed in it will be _____.

Rajan packs a football into a cubical cardboard box. The radius of the football is $11 \mathrm{cm}$. Rajan keeps a margin of $1 \mathrm{cm}$ from all the sides of the box while packing. What is the side length of the cardboard box?

Gopal sweets placed an order of making $30 \mathrm{cm}\times 20 \mathrm{cm}\times 6 \mathrm{cm}$ cardboard boxes for packing their sweets. For all overlaps, $4\%$ of total area is required extra. If cost of the cardboard is $25\mathrm{p}$ for $100 {\mathrm{cm}}^2$, find the cost of the cardboard used for making $1000$ boxes."

A closed box is built of wood of uniform thickness. Its external dimensions are $12 \mathrm{cm}$, $10 \mathrm{cm}$ and $8 \mathrm{cm}$. If the inner surface area is $376 \mathrm{sq}.\mathrm{cm}$, then what is the thickness of the wood?

The length of a room is $\frac{21}{16}$ times its breadth and breadth is $\frac{4}{3}$ times its height. If $\mathrm{H}$ is the height of the room and $\mathrm{L}$ is the longest rod that can be placed in the room, then which one of the following is correct?

Let $\mathrm{x}, \mathrm{y}, \mathrm{z}$ be the length, breadth, height of a cuboid. If its volume is $400$ cubic $\mathrm{cm}$ and total surface area is $340$ square $\mathrm{cm}$, then what is ${\mathrm{x}}^{-1}+{\mathrm{y}}^{-1}+{\mathrm{z}}^{-1}$ equal to?

A rectangular metal sheet is of length $24 \mathrm{cm}$ and breadth $18 \mathrm{cm}$ from each of its corners a square of side $\mathrm{x} \mathrm{cm}$ is cut off and an open box is made of the remaining sheet. If the volume of the box is $640$ cubic $\mathrm{cm}$, then What is the value of $\mathrm{x}$ ?

Body diagonal of a cube is $866 \mathrm{pm}$. Its edge length would be 

If the length of a cube is $l$. What is the diagonal of the cube.

Find the length of the face diagonal of a cube when the side measures 6 units. Use the face diagonal formula of a cube. 

Calculate the length of the diagonal of a cube whose each side measures $5$ units.

The dimensions of a cuboid are given as follows:

Length = 4.8 cm

Width = 3.4 cm

Height = 7.2 cm.

Find the Total Surface area and the Lateral Surface area.

Given below is a cuboid having its dimension given as length $= 8 \mathrm{cm}$, width $= 6 \mathrm{cm}$ and height $= 5 \mathrm{cm}$, find the TSA of a cuboid.

If the sidewall of a cubic structure is 5m, then find the Total Surface Area?

What are the properties of a cuboid?

What is the length of the longest rod which can be placed in a cube of total surface area $216 {\mathrm{cm}}^3$?

The dimensions of a cuboid are in the ratio of $1:2:3$ and its total surface area is $88 {\mathrm{m}}^2$, then the dimensions will be

In the following figure, each quadrilateral is a square. The value of surface area of the following figure will be

How many bricks each measuring $64 \mathrm{cm}\times 11.25 \mathrm{cm}\times 6 \mathrm{cm}$, will be needed to build a wall measuring $8 \mathrm{m}\times 3 \mathrm{m}\times 22.5 \mathrm{m}$?