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notka56 [123]
3 years ago
14

A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.

Mathematics
2 answers:
Elza [17]3 years ago
8 0
Answer:

l = 114 cm
w = 4 cm
h = 314 cm
d = 334.078 cm
S = 75016 cm²
V = 143184 cm³ or 0.143184 m³
ruslelena [56]3 years ago
5 0

Answer:

Volume of rectangular prism = \frac{65}{4}=16\frac{1}{4}=16.25

Step-by-step explanation:

Given :   A rectangular prism has a length of 1\frac{1}{4}  centimeters, a width of 4 centimeters, and a height of  3\frac{1}{4} centimeters.

We have to find the volume of prism.

We know,

Volume of rectangular prism = length ×  width × height

Given : Length = 1\frac{1}{4} centimeters =  \frac{5}{4}

Width = 4 centimeters, and

height = 3\frac{1}{4}  centimeters = \frac{13}{4}

Thus, Volume of rectangular prism = \frac{5}{4}\times 4\times \frac{13}{4}

Simplify, we have,

Volume of rectangular prism = \frac{65}{4}=16\frac{1}{4}=16.25

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C. $5.55

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3 years ago
Prove the divisibility of the following numbers:
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Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

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