Please help 40 points
2 answers:
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The side of the edge of the cube is 9. 9cm
<h3>How to determine the length</h3>
Given that the diagonal of a cube measures the square root of 294cm and the diagonal of a face measures 14cm
To find the edge of the face, we know that the face of the cube is a square
Formula for diagonal of a square =
Where is the side of the square
We then have,
Make 'a' the subject
a =
Simplify the surd
a = ×
a =
a =
a = 9. 9cm
Therefore, the side of the edge of the cube is 9. 9cm
Learn more about a cube here:
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Answer:
The mass of the ice block is 2116 grams ⇒ a
Step-by-step explanation:
The formula of density is , where m is the mass and V is the volume
To find the mass from this formula multiply both sides by V,
then m = p.V
∵ The density of ice is approximately 0.92 g/cm³
∴ p = 0.92
- That means the mass of 1 cm³ is 0.92 g
∵ The volume of an ice block is 2300 cm³
∴ V = 2300
- Use the formula of the mass
∵ m = p.V
- Substitute the values of p and V in it
∴ m = (0.92)(2300)
∴ m = 2116 grams
The mass of the ice block is 2116 grams