Question

Обчислити обєм і площу поверхні прямокутного паралелепіпеда якщо його виміри дорівнюють 12см 15см 18см

Answer 1

V=a*b*c
V=12*15*18=3240 куб.см
S=2*(ab+bc+ac)
S=2*(12*15+15*18+12*18)=2*666=1332 кв.см

Answer 2

Calculation of Volume and Surface Area of a Rectangular Parallelepiped

To calculate the volume and surface area of a rectangular parallelepiped, we need to know its dimensions. In this case, the dimensions are given as 12 cm, 15 cm, and 18 cm.

Volume of a Rectangular Parallelepiped

The volume of a rectangular parallelepiped can be calculated by multiplying its length, width, and height. In this case, the length is 12 cm, the width is 15 cm, and the height is 18 cm.

Therefore, the volume of the rectangular parallelepiped is:

Volume = Length x Width x Height

Volume = 12 cm x 15 cm x 18 cm

Volume = 3240 cm³.

Surface Area of a Rectangular Parallelepiped

The surface area of a rectangular parallelepiped can be calculated by adding the areas of all its six faces. Each face is a rectangle, and the area of a rectangle can be calculated by multiplying its length and width.

The six faces of the rectangular parallelepiped can be divided into three pairs of opposite faces. The areas of the faces in each pair are equal.

To calculate the surface area, we can calculate the area of one face and then multiply it by 2, and then add the areas of the other two faces.

Let's calculate the surface area step by step:

1. Calculate the area of one face: - Length = 12 cm - Width = 15 cm - Area of one face = Length x Width

2. Multiply the area of one face by 2 to account for the two faces in the same pair: - Surface area of one pair of faces = 2 x Area of one face

3. Add the areas of the other two pairs of faces: - Surface area = Surface area of one pair of faces + Surface area of the other two pairs of faces

Let's calculate the surface area using the given dimensions:

Area of one face = 12 cm x 15 cm = 180 cm²

Surface area of one pair of faces = 2 x 180 cm² = 360 cm²

Surface area = 360 cm² + 360 cm² + 360 cm² = 1080 cm².

Therefore, the volume of the rectangular parallelepiped is 3240 cm³ and the surface area is 1080 cm².