Question

Kristof bought a new terrarium, shaped like a rectangular prism, for his pet snake. The terrarium has a length of 1.8 × 102 cm, a width of 1.3 × 102 cm, and a height of 1.1 × 102 cm. Find the volume of the terrarium in scientific notation and in standard form. Answers should not be rounded.

Answer 1

Answer:

Volume of  rectangular prism in scientific notation is $2.574\cdot10^{6}$ cubic centimeters and in standard form $2574000\text{cm}^{3}$.

Step-by-step explanation:

Since we know that volume of a rectangular prism is length*breadth*height.

Sides of our rectangular prism are given in scientific notation as $\text{length}=1.8*10^{2},$$\text{width}=1.3*10^{2}$ and $\text{height}=1.1*10^{2}$.

Let us substitute our values in volume formula,

$\text{ Volume of rectangular prism}=1.8\cdot 10^{2}\cdot 1.3\cdot 10^{2}\cdot 1.1\cdot 10^{2}$

Upon using exponent product property we will get,

$\text{ Volume of rectangular prism}=1.8\cdot1.3\cdot 1.1\cdot 10^{(2+2+2)}$

$\text{ Volume of rectangular prism}=2.574\cdot10^{6}\text{cm}^{3}$

Now let us convert our volume in standard form as,

$\text{ Volume of rectangular prism}=2.574\cdot1000000\text{cm}^{3}$

$\text{ Volume of rectangular prism}=2574000\text{cm}^{3}$

Therefore, volume of rectangular prism in scientific notation is $2.574\cdot10^{6}$ cubic centimeters and in standard form $2574000\text{cm}^{3}$.