calculate the slant height for the given square pyramid.
Round to the nearest tenth.
Pyramid base= 6cm
height=5 cm
6.2 cm
5.8 cm
7.8 cm
7.2 cm
Calculate the length of the diagonal for the given rectangular prism.
Round to the nearest tenth.
Length= 10 cm
widith= 4cm
height= 10cm
14.7 cm
10.8 cm
12.2 cm
15.6 cm
Calculate the length of the diagonal for the given rectangular prism.
Round to the nearest tenth.
Length= 14cm
widith= 3
height= 4 cm
pllzzz help
I'm currently working on this too. The first one is 5.8, the second one is 14.7, and I'm not too sure what the third one is. :)
I got the last one. I'm pretty sure it's 14.8.
√(3^2+5^2) = √34
so the slant height is 5.8
√(10^2+4^2+10^2) = √216 = 14.7
√(14^2+3^2+4^2) = √221 = 14.9
Steve is right
To calculate the slant height of a square pyramid, we can use the Pythagorean theorem. The slant height is the hypotenuse of a right triangle formed by the height of the pyramid and half the length of one side of the base.
Given:
Base length of the pyramid = 6 cm
Height of the pyramid = 5 cm
To find the slant height, follow these steps:
1. Calculate half the length of one side of the base: 6 cm / 2 = 3 cm.
2. Use the Pythagorean theorem to find the slant height:
Slant height^2 = height^2 + (half base length)^2
Slant height^2 = 5 cm^2 + 3 cm^2
Slant height^2 = 25 cm^2 + 9 cm^2
Slant height^2 = 34 cm^2
3. Take the square root of both sides to find the slant height:
Slant height ≈ √(34 cm^2) ≈ 5.8 cm (rounded to the nearest tenth).
So, the slant height of the given square pyramid is approximately 5.8 cm.
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To calculate the length of the diagonal for a rectangular prism, we can use the Pythagorean theorem again. The length of the diagonal is the hypotenuse of a right triangle formed by the length, width, and height of the prism.
Given:
Length of the prism = 10 cm
Width of the prism = 4 cm
Height of the prism = 10 cm
To find the length of the diagonal, follow these steps:
1. Use the Pythagorean theorem to find the diagonal length:
Diagonal length^2 = length^2 + width^2 + height^2
Diagonal length^2 = 10 cm^2 + 4 cm^2 + 10 cm^2
Diagonal length^2 = 100 cm^2 + 16 cm^2 + 100 cm^2
Diagonal length^2 = 216 cm^2
2. Take the square root of both sides to find the diagonal length:
Diagonal length ≈ √(216 cm^2) ≈ 14.7 cm (rounded to the nearest tenth).
So, the length of the diagonal of the given rectangular prism is approximately 14.7 cm.
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Given:
Length of the prism = 14 cm
Width of the prism = 3 cm
Height of the prism = 4 cm
To find the length of the diagonal, follow these steps:
1. Use the Pythagorean theorem to find the diagonal length:
Diagonal length^2 = length^2 + width^2 + height^2
Diagonal length^2 = 14 cm^2 + 3 cm^2 + 4 cm^2
Diagonal length^2 = 196 cm^2 + 9 cm^2 + 16 cm^2
Diagonal length^2 = 221 cm^2
2. Take the square root of both sides to find the diagonal length:
Diagonal length ≈ √(221 cm^2) ≈ 14.9 cm (rounded to the nearest tenth).
So, the length of the diagonal of the given rectangular prism is approximately 14.9 cm.