A cuboid with a square bottom is 40 cm high. If the height is increased by 5 cm, the surface area will be increased by 80 square cm. Calculate the surface area and volume of the original cuboid

A cuboid with a square bottom is 40 cm high. If the height is increased by 5 cm, the surface area will be increased by 80 square cm. Calculate the surface area and volume of the original cuboid

Bottom length = 80 △ 5 △ 4 = 4cm
Surface area = 4 × 4 × 2 + 4 × 4 × 40 = 672 square centimeter
Volume = 4 × 4 × 40 = 640 CC

The surface area of a rectangular block of wood is 80 square centimeters. If you saw it, it is exactly two identical cubes. What's the surface area of each cube
To calculate the solution, don't write the answer directly, don't write the equation

The length of a cuboid block is twice that of a cube
The length and the height of the cube are equal to the height of the cube
After sawing, the cuboid block increases the area of two sides
The surface area of a cuboid is equal to the area of 6 × 2-2 = 10 faces of a cube
What is the area of each face of a cube
80 △ 10 = 8 square centimeter
What is the surface area of each cube
8 × 6 = 48 square centimeter

A cuboid with a square cross section is 40 cm long. If the length is increased by 5 cm, the surface area will be increased by 80 square cm
Find the surface area and volume of the original cuboid

80 △ 5 △ 4 = side length of 4 (CM) cross section
4 × 4 × 40 = 640 (cm3) volume
(4 × 4 + 4 × 40 + 4 × 40) × 2 = 672 (cm2) surface area