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Arte-miy333 [17]
3 years ago
15

What is the volume of the prism

Mathematics
2 answers:
Stella [2.4K]3 years ago
6 0

\text{Hey there!}

\text{Formula: v = lwh}

\text{l = length}\\\text{w = width}\\\text{h = height}

\text{L = 2}

\text{W = 1}\frac{1}{2}\text{ also known as 1.5}

\text{H = 1}\frac{1}{2}\text{ also known as 1.5}

\text{1}\frac{1}{2}\times1\frac{1}{2}\text{ = }\frac{3}{2}\times\frac{3}{2}=2\frac{1}{4}

4\frac{1}{2}\times2=4\frac{1}{2}

\boxed{\boxed{\bf{Answer: Fraction\rightarrow4\frac{1}{2}ft^2\ \& Decimal: 4.5ft^2}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

almond37 [142]3 years ago
4 0

The volume of a rectangular prism or cube is: Length × Width × Height

In this case,

- the length of the prism is 2 feet

- the width of the prism is 1.5 feet

- the height of the prism is 1.5 feet

Multiply the above to find the volume: 2 × 1.5 × 1.5 = 4.5 ft³

Keep in mind that volume is represented in cubic units!

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Can someone help me plz .. Use these lengths to find cos B, tan B, and sin B.
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tan B = \frac{24}{7}

sin B = \frac{24}{25}

Step-by-step explanation:

In the right triangle, there are three sides and 2 acute angles

  • Hypotenuse ⇒ the opposite side of the right angle
  • Leg1 and Leg 2 ⇒ the sides of the right angle

The trigonometry functions of one of the acute angles Ф are

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  • tan Ф = opposite leg/adjacent leg

In Δ ACB

∵ ∠C is the right angle

∴ AB is the hypotenuse

∵ AC is the opposite side of ∠B ⇒ leg1

∵ CB is the adjacent side of ∠B ⇒ leg2

→ By using the ratios above

∴ cos B = \frac{CB}{AB} , tan B = \frac{AC}{CB} , sin B = \frac{AC}{AB}

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∴ cos B = \frac{7}{25}

∴ tan B = \frac{24}{7}

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