Answer:
Height of the cereal box = 18 in.
Step-by-step explanation:
A cereal box is in the shape of a cuboid.
And volume of a cuboid is represented by the expression,
Volume = Length × Width × Height
It's given that volume of the box = 432 in³
Length of the base = 2 in.
Width of the base = 12 in
By substituting these values in the expression,
432 = 2 × 12 × h
h = 
h = 18 in.
Therefore, height of the cereal box is 18 in.
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Answer:
8) 10°
9) X can not be determined.
10) 10°
11) 12 units.
Step-by-step explanation:
8) The three sides of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each angle will be 60°.
So, 6x = 60°
⇒ x = 10°.
9) The three angles of the given triangle are equal. Hence, the triangle is an equilateral triangle, hence each side will be equal.
So, 6x - 5 = 6x
So, x can not be determined from this equation.
10) Δ KLM is equilateral, so, KN will bisect ∠ MKL. So, ∠ NKL = 30°
Hence, 3x = 30°
⇒ x = 10°
11) In Δ XYZ, XZ = XY , so, ∠ Z = ∠ Y.
Again, ∠ X is given to be 60°.
Therefore, each angle is 60°.
So, the triangle XYZ is equilateral, and each side will be equal.
So, 3x + 8 = 4x - 4
⇒ x = 12 units. (Answer)
Total length = 111.6 metres
(12.3x7) + 15 + 10.5 = total length
Answer:
Step-by-step explanation:
2.7*4=10.80
27*0.4=10.80 we multiplied 27 by 10 but divide 4 by 10
0.27*40=10.80
