Question

what are the dimensions of the rectangular prisms that make up the dresser? 16 inches by 18 inches by 30 inches and 14 inches by 30 inches by 36 inches 16 inches by 18 inches by 30 inches and 14 inches by 18 inches by 30 inches 16 inches by 18 inches by 30 inches and 14 inches by 16 inches by 30 inches 16 inches by 18 inches by 30 inches and 14 inches by 20 inches by 30 inches

Explanation:

Step1: Analyze the first prism

The left - hand prism has dimensions: height \(16\) inches, width \(18\) inches, depth \(30\) inches.

Step2: Analyze the second prism

The right - hand prism: The total width of the dresser is \(30\) inches (from the left - hand prism's depth). If the left - hand prism has a width of \(18\) inches, then the width of the right - hand prism is \(30 - 18=12\) (incorrect). Wait, actually, looking at the overall structure, the two prisms share the depth of \(30\) inches. The left prism has height \(16\) inches, width \(18\) inches, depth \(30\) inches. The right prism: the height is \(36\) inches (but no, wait, no, actually, the two prisms: one has height \(16\) inches (the shorter part), width \(18\) inches, depth \(30\) inches. The other part: the remaining width (since the total width from the base - like dimension: if we assume the base - related dimension. Wait, no, actually, for a rectangular prism, dimensions are length, width, height. Looking at the figure, one prism: \(16\times18\times30\) (height \(16\), width \(18\), depth \(30\)). The other prism: the remaining part in the width (if we consider the horizontal non - height dimension). The total “width” (the non - height, non - depth dimension) that can be observed: if we assume the depth is \(30\) (common to both). The first prism has width \(18\), and the second prism has width \(30 - 18 = 12\) (no, wait no, looking at the options. Wait, actually, the two prisms: one is \(16\times18\times30\) (height \(16\), width \(18\), depth \(30\)) and the other is \(14\times30\times36\) (no, wait no. Wait, no, the two prisms: for a rectangular prism, we can take the three dimensions. The first prism: from the lower - left part: height \(16\) inches, width \(18\) inches, depth \(30\) inches. The second prism: the upper - right part: the height (vertical) is \(36\) (but no, no, wait, no, the two prisms: if we consider the depth (the dimension going into the page) is \(30\) for both (since it's a dresser, like a 3D object with a certain depth). The first prism: \(16\) (height) \(\times18\) (width) \(\times30\) (depth). The second prism: \(14\) (the remaining width, since \(30 - 16=14\) in the height - related? No, wait, no. Wait, the two prisms: one has dimensions \(16\times18\times30\) (height \(16\), width \(18\), depth \(30\)) and the other has \(14\times30\times36\) (the \(14\) comes from \(30 - 16\) in the height - like dimension? No, wait, no, for a rectangular prism, length, width, height. Let's assume the depth (a common dimension for the dresser's structure) is \(30\). The first prism: \(16\) (height) \(\times18\) (width) \(\times30\) (depth). The second prism: \(14\) (the remaining in the width - like dimension, if total width in that plane is \(30\), \(30-16 = 14\) in one of the non - depth dimensions) \(\times30\) (depth) \(\times36\) (height).

Answer:

16 inches by 18 inches by 30 inches and 14 inches by 30 inches by 36 inches