I;m so lost with these questiona. Any help will be appreciated.
1. Find the area of a square if one side measures 27 centimeters.
2. Exactly how many cubic inches of air can a fully inflated basketball hold if its radius is 4.2 inches? Use Pi
3. How many cubic centimeters can a cigar box hold if its dimensions are 4 centimeters by 16 centimeters by 10 centimeters?
4. Find the perimeter and area of a right triangle if one leg measures 24 ft. and the other leg measures 70 ft.
1) A = s * s
2) V = (4/3) * pi * r^3
3) V = L * W * H
4) Use the Pythagorean theorem to find the length of the hypotenuse
P = a + b + c
A = (1/2) * b * h
Of course, I'd be happy to help you with these questions! Let's go through each question step by step:
1. To find the area of a square, you need to multiply the length of one side by itself. In this case, the length of one side is given as 27 centimeters. So, to find the area, you would calculate: Area = side length * side length. Plugging in the given measurement, the formula becomes: Area = 27 cm * 27 cm = 729 square cm.
2. To find the volume of a sphere (which is the same as the amount of air a fully inflated basketball can hold), you need to use the formula: Volume = (4/3) * Pi * radius^3. The radius of the basketball is given as 4.2 inches. Plugging this value into the formula, we get: Volume = (4/3) * Pi * (4.2 in)^3. Using the value of Pi (approximately 3.14159), you can calculate the volume.
3. To find the volume of a rectangular prism (like a cigar box), you need to multiply the length, width, and height of the box. The dimensions of the cigar box are given as 4 cm by 16 cm by 10 cm. Plugging these values into the formula: Volume = length * width * height, we get: Volume = 4 cm * 16 cm * 10 cm = 640 cubic cm.
4. The perimeter of the right triangle is the sum of all three sides. Two legs of the triangle are given as 24 ft and 70 ft. To find the perimeter, you would add these two measurements together, along with the length of the hypotenuse (assuming we have a right triangle with sides 24 ft and 70 ft). However, since the hypotenuse is not given, we can't find the exact perimeter without further information.
To find the area of a right triangle, you use the formula: Area = (base * height) / 2. Since the lengths of the legs are given (24 ft and 70 ft), you can choose one of them as the base and the other as the height. Plugging in these values into the formula, you can calculate the area.
I hope this helps clarify the steps you can take to solve these problems!