Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,
Area of triangle = 0.5 × 4cm × 11cm
Area of triangle = 22 cm²
Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,
Volume of the triangular prism = 22cm² × 3cm = 66cm³
Hence, the volume of the triangular prism is 66cm².
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Answer:
100000 centimetres
Step-by-step explanation:
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The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 
. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 
. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!
Let's solve your inequality step-by-step.
<span><span><span>10x</span>+18</span><<span>−2
</span></span>Step 1: Subtract 18 from both sides.
<span><span><span><span>10x</span>+18</span>−18</span><<span><span>−2</span>−18
</span></span><span><span>10x</span><<span>−20
</span></span>Step 2: Divide both sides by 10.
<span><span><span>10x/</span>10</span><<span><span>−20/</span>10
</span></span><span>x<<span>−2
</span></span>Answer:
<span>x<<span>−<span>2</span></span></span>
