*TEST- Surface Area and Volume of Prisms & Cylinders

Front

What is the formula for the volume of a triangular prism?

Back

The volume of a triangular prism is given by the formula: \( V = \frac{1}{2} \times b \times h \times l \), where \( b \) is the base of the triangle, \( h \) is the height of the triangle, and \( l \) is the length of the prism.

Front

What is the formula for the surface area of a cube?

Back

The surface area of a cube is given by the formula: \( SA = 6a^2 \), where \( a \) is the length of an edge of the cube.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by the formula: \( V = \pi r^2 h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder.

Front

What is the formula for the surface area of a cylinder?

Back

The surface area of a cylinder is given by the formula: \( SA = 2\pi r(h + r) \), where \( r \) is the radius and \( h \) is the height.

Front

What is the difference between volume and surface area?

Back

Volume measures the amount of space inside a 3D object, while surface area measures the total area of the object's outer surface.

Front

What units are used for measuring volume?

Back

Volume is measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Front

What units are used for measuring surface area?

Back

Surface area is measured in square units, such as square centimeters (cm²), square meters (m²), or square inches (in²).

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

If the radius of a cylinder is doubled, the volume increases by a factor of four, since volume is proportional to the square of the radius.

Front

What is the volume of a cube with an edge length of 3 cm?

Back

The volume of a cube is given by \( V = a^3 \). For an edge length of 3 cm, \( V = 3^3 = 27 \ cm^3 \).

Front

What is the surface area of a triangular prism with a base of 4 cm, height of 3 cm, and length of 10 cm?

Back

The surface area of a triangular prism is given by \( SA = bh + l(a + b + c) \). For this prism, \( SA = \frac{1}{2} \times 4 \times 3 \times 10 + 10(4 + 3 + 5) = 60 + 120 = 180 \ cm^2 \).