Question

world record: two worlds largest ice - cream cake was created on may 10, 2011, in toronto, canada. the cake was 45 meters long, 4.06 meters wide, and 1 meter tall. all surfaces of the cake except the bottom were covered with a cookie crumble topping. use an appropriate two - dimensional model to approximate the area covered by the cookie crumble topping. round your answer to the nearest tenth of a square meter. m² incorrect 2 tries left. please try again. need help with this question? get a hint text to speech calculator highlighter

Explanation:

Step1: Identify the shape and formula

The cake is a rectangular - prism and we need to find the surface area of all but the bottom. The formula for the surface area of a rectangular - prism (excluding the bottom) is \(SA = lw+2lh + 2wh\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Substitute the given values

Given \(l = 45\) m, \(w = 4.06\) m, and \(h = 1\) m.
\[

$$\begin{align*} SA&=(45\times4.06)+2\times(45\times1)+2\times(4.06\times1)\\ &=182.7 + 90+8.12\\ &=280.82 \end{align*}$$

\]

Step3: Round to the nearest tenth

Rounding \(280.82\) to the nearest tenth gives \(280.8\) \(m^{2}\).

Answer:

\(280.8\) \(m^{2}\)