Həcmin hesablanması

MathematicsGeometryEasy

Published:

a) 3 sm

This question includes visual content: Şəkildə tərəfləri kvadratlardan ibarət olan düzbucaqlı paralelepiped təsvir edilmişdir. Paralelepipedin sol tərəfində hündürlüyü göstərən '3 sm' yazısı var. Üst səth 2x4 şəklində kiçik kvadratlara bölünmüşdür.

Animated Video Solution

The first half plays free, the full solution is in the app.

Step by Step Written Solution

1
Step 1

Hi Redmi, let's solve this together. We have a rectangular prism, also known as a cuboid, and we want to find its dimensions to calculate its volume and surface area.

Rectangular Prism Analysis

2
Step 2

First, let's determine the dimensions of our prism. The top face shows a grid of small squares. If we count them, we have four units along the length and two units along the width.

Dimensions

3 cm4 units2 units
3
Step 3

The height of the prism is explicitly given as three centimeters, written here as three sm. So we have a length of four centimeters, a width of two centimeters, and a height of three centimeters.

$$\begin{aligned} \text{Length } (a) &= 4\text{ cm} \\ \text{Width } (b) &= 2\text{ cm} \\ \text{Height } (h) &= 3\text{ cm} \end{aligned}$$
4
Step 4

Let's first calculate the volume of the rectangular prism, which represents the total space enclosed inside it.

Volume of the Prism

$$V = a \cdot b \cdot h$$
5
Step 5

We substitute our identified dimensions, four, two, and three, into the formula.

$$V = 4 \text{ cm} \times 2 \text{ cm} \times 3 \text{ cm}$$
6
Step 6

Multiplying these together, four times two is eight, and eight times three gives us twenty-four cubic centimeters.

$$V = 24\text{ cm}^3$$

The rest of this solution is on Solvi

5 more steps are locked. Watch the full animated, narrated solution for free.

Snap a photo, solve any question like this.

Download on the App Store Get it on Google Play

Free to download · First solutions are on us

100K+Questions solved daily
50K+Students learning
4.8 ★App Store rating

About This Question

Subject
Mathematics
Topic
Geometry
Difficulty
Easy
Question Type
Open Ended

Solve any question in seconds

Snap a photo and AI explains it step by step with voice and animation.

Download on the App Store Get it on Google Play
Solvi
The full solution is in the appFree to download · First solutions are on us
Get