Question

основанием пирамиды служит прямоугольник длинны которого равны 4 и 3 см. длина каждого ребра пирамиды равны 10см. найдите объем пирамиды. пожалуйста помогите у меня завтро экзамены

Answer 1

S=4*3=12

диагональ основания=5(4*4+3*3=25)

Найдем высоту пирамиды=2,5√15 (10*10-2,5*2,5=100-6,25=93,75)

V= 1/3*S*h=1/3*12*2.5√15=10√15

Answer 2

Finding the Volume of a Pyramid

To find the volume of a pyramid, you can use the formula:

Volume = (1/3) * base area * height

In this case, the base of the pyramid is a rectangle with sides measuring 4 cm and 3 cm, and the height of the pyramid is 10 cm.

Let's calculate the volume step by step:

1. Find the area of the base: - The area of a rectangle is calculated by multiplying its length and width. - In this case, the length of the rectangle is 4 cm and the width is 3 cm. - Therefore, the area of the base is 4 cm * 3 cm = 12 cm².

2. Calculate the volume: - Using the formula, we can substitute the values we have: - Volume = (1/3) * 12 cm² * 10 cm - Volume = (1/3) * 120 cm³ - Volume = 40 cm³.

Therefore, the volume of the pyramid is 40 cm³.

I hope this helps! Good luck with your exams. Let me know if you have any other questions.