Answer:
I. Base area = 35 cm²
II. Volume of rectangular prism = 350 cm³
Step-by-step explanation:
Given the following data;
Length = 7cm
Breadth = 5cm
Height = 10cm
a. To find the base area of the rectangular prism;
Base area = length * breadth
Base area = 7 * 5
Base area = 35 cm²
b. To find how much it takes to fill the rectangular prism, we would need to determine its volume.
Volume of rectangular prism = length * breadth * height
Volume of rectangular prism = 7 * 5 * 10
Volume of rectangular prism = 350 cm³
c. To find the answers to the other part of the question, we would determine the capacity of the prism in litres.
Capacity = volume in cm³ to litres
1 centimeter = 0.001 litres
Capacity = 350 * 0.001
Capacity = 0.35 litres.
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
<h3>What is the
triangle inequality theorem?</h3>
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
Learn more about the Triangle Inequality Theorem:
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Answer: t= 7
Step-by-step explanation:
Take 56 divided by 8 and you get the remainder of 7. So t must equal 7.
Answer:
x = 8√2 units
Step-by-step explanation:
On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.
x = 8 × √2
x = 8√2 units
Answer:

Step-by-step explanation:
The first term is 22. It looks like each term after that is the term before, plus a negative 3.
a-sub-one = 22
common difference = d= -3
Formula for
:
= 25 - 3n