Mensuration

What is the perimeter of a regular hexagon with a side length of $5.5 \text{ cm}$?

A trapezoid has parallel sides of length $7 \text{ cm}$ and $13 \text{ cm}$. The height is $4 \text{ cm}$. What is its area?

Find the circumference of a circle if the radius is $14 \text{ mm}$. (Use $\pi \approx \frac{22}{7}$)

Calculate the area of the shape shown (a rectangle with a triangle on top).

Calculate the area of a trapezium where the parallel sides are in the ratio $3:5$, the height is $10 \text{ cm}$, and the shorter parallel side is $9 \text{ cm}$.

A circle is inscribed exactly inside a square of side $10 \text{ cm}$. Calculate the area of the region inside the square but outside the circle. (Use $\pi = 3.14$)

The diagram shows a rectangle $ABCD$. If the area of the shaded triangle $ABE$ is $24 \text{ cm}^2$ and the length $AB = 8 \text{ cm}$, find the area of the rectangle.

The diagram shows a shape consisting of a rectangle with a semi-circle removed from one end and a semi-circle added to the other end. If the rectangle's dimensions were $20\text{ cm}$ by $10\text{ cm}$, and the diameter of the semi-circles is $10\text{ cm}$, calculate the total area of the shape.

A square with side length $14\text{ cm}$ has four semi-circles drawn on each of its sides pointing inwards. Find the area of the region inside the square that is NOT covered by the semi-circles. Use $\pi \approx \frac{22}{7}$.

Calculate the area of a trapezium where the height is $x$, the top parallel side is $x+2$, and the bottom parallel side is $2x-4$. If $x = 10\text{ cm}$, what is the area?

A cylindrical can has a radius of $3\text{ cm}$ and a height of $5\text{ cm}$. What is the area of its top lid? (Use $\pi \approx 3.14$)

Find the total surface area of a cuboid measuring $4\text{ cm}$ by $3\text{ cm}$ by $2\text{ cm}$.

A box is in the shape of a cuboid with dimensions $2\text{ m}$ by $1.5\text{ m}$ by $1\text{ m}$. Calculate its volume in cubic meters.

What is the curved surface area of a cylinder with radius $7\text{ cm}$ and height $10\text{ cm}$? (Use $\pi \approx \frac{22}{7}$)

A gift box is a cuboid. The surface area of the top is $24\text{ cm}^2$, the front is $12\text{ cm}^2$, and the side is $8\text{ cm}^2$. Find the volume of the box.

A prism has a base which is a regular hexagon of area $50\text{ cm}^2$. If the height of the prism is $12\text{ cm}$, find the volume.

A cylinder has a base area of $40\text{ cm}^2$ and a volume of $400\text{ cm}^3$. Find its total surface area if the circumference of the base is $25\text{ cm}$.

A concrete trough is shaped like a right-angled triangular prism. The triangular cross-section has a base of $0.8$ m and a height of $0.6$ m. The trough is $2.5$ m long. The interior surface (two rectangular sides and two triangular ends) needs to be coated with a waterproof sealant. If the top of the trough is open, calculate the total interior surface area to be coated.

A hollow cylindrical metal pipe has an external radius of $12$ cm and an internal radius of $10$ cm. The pipe is $50$ cm long. The pipe is melted down and recast into a solid rectangular prism with a square base of side length $10$ cm. Calculate the height of the rectangular prism, rounded to the nearest centimeter. (Use $\pi \approx 3.14$)

A cylinder has a volume of $1570$ cm$^3$ and a surface area of $785$ cm$^2$. Find the radius of the cylinder to the nearest centimeter. (Use $\pi \approx 3.14$)

An oil tank has a volume of $1.5\text{ m}^3$. Express this volume in cubic centimeters ($cm^3$).

A tablet screen has an area of $30,000\text{ mm}^2$. What is this area in square centimeters ($cm^2$)?

Convert a volume of $8,000,000\text{ cm}^3$ into cubic meters ($m^3$).

A piece of cloth has an area of $0.8\text{ m}^2$. Convert this area to square centimeters ($cm^2$).

A liquid in a container occupies a volume of $0.00075\text{ m}^3$. Convert this volume to cubic millimeters ($mm^3$).

A block of wood has a volume of $0.024\text{ m}^3$. It is cut into 12 identical smaller cubes. What is the volume of each small cube in cubic centimeters ($cm^3$)?

The diagram shows a path around a pond. The area of the path is $15\text{ m}^2$. Convert this area into square millimeters ($mm^2$).

A concrete pillar is a right prism with a square base of side length $40\text{ cm}$. If the volume of the pillar is $0.8\text{ m}^3$, what is the height of the pillar in meters?

A glass cube with side length $200\text{ mm}$ is hollowed out by removing a smaller cube of side length $10\text{ cm}$ from its center. What is the remaining volume of glass in $\text{cm}^3$?

An oil spill covers a circular area on the ocean surface. The radius of the spill is $0.5\text{ km}$. If the oil film is $0.2\text{ mm}$ thick, what is the volume of the oil in cubic meters? (Use $\pi \approx 3.14$)